what is the greatest common factor of 88 and 99
To find the greatest common factor (GCF) of 88 and 99, we can use the method of prime factorization.
Prime factorization of 88:
88 can be written as the product of prime numbers: 2^3 * 11.
Prime factorization of 99:
99 can be written as the product of prime numbers: 3^2 * 11.
Now, let's identify the common factors by looking at the prime factorization of each number:
88 = 2^3 * 11
99 = 3^2 * 11
We can see that the common prime factors are only 11.
Therefore, the greatest common factor of 88 and 99 is 11.
what is the greatest common factor of 87 and 93
To find the greatest common factor (GCF) of 87 and 93, we can again use the method of prime factorization.
Prime factorization of 87:
87 can be written as the product of prime numbers: 3^1 * 29.
Prime factorization of 93:
93 can be written as the product of prime numbers: 3^1 * 31.
Now, let's identify the common factors by looking at the prime factorization of each number:
87 = 3^1 * 29
93 = 3^1 * 31
We can see that the common prime factor is 3.
Therefore, the greatest common factor of 87 and 93 is 3.
what is the greatest common factor of 19 and 38
To find the greatest common factor (GCF) of 19 and 38, we can use the method of prime factorization.
Prime factorization of 19:
19 is a prime number, so its prime factorization is simply 19.
Prime factorization of 38:
38 can be written as the product of prime numbers: 2^1 * 19.
Now, let's identify the common factors by looking at the prime factorization of each number:
19 = 19
38 = 2^1 * 19
We can see that the common prime factor is 19.
Therefore, the greatest common factor of 19 and 38 is 19.
what is the greatest common factor of 25 and 15
To find the greatest common factor (GCF) of 25 and 15, we can use the method of prime factorization.
Prime factorization of 25:
25 can be written as the product of prime numbers: 5^2.
Prime factorization of 15:
15 can be written as the product of prime numbers: 3^1 * 5^1.
Now, let's identify the common factors by looking at the prime factorization of each number:
25 = 5^2
15 = 3^1 * 5^1
We can see that both 25 and 15 have a common prime factor of 5.
Therefore, the greatest common factor of 25 and 15 is 5.
what is the greatest common factor of 72 and 96
To find the greatest common factor (GCF) of 72 and 96, we can use the method of prime factorization.
Prime factorization of 72:
72 can be written as the product of prime numbers: 2^3 * 3^2.
Prime factorization of 96:
96 can be written as the product of prime numbers: 2^5 * 3^1.
Now, let's identify the common factors by looking at the prime factorization of each number:
72 = 2^3 * 3^2
96 = 2^5 * 3^1
We can see that both 72 and 96 have a common prime factor of 2 raised to the power of 3 (2^3). Additionally, they both have a common prime factor of 3 raised to the power of 1 (3^1).
Therefore, the greatest common factor of 72 and 96 is 2^3 * 3^1, which is equal to 24.