what is the greatest common factor of 153 and 102
153 = 3(51)
102 = 2(51)
so which number is a common factor of both?
51...
To find the greatest common factor (GCF) of 153 and 102, we need to determine the largest number that can evenly divide both 153 and 102.
1. Find the factors of each number:
Factors of 153: 1, 3, 9, 17, 51, 153
Factors of 102: 1, 2, 3, 6, 17, 34, 51, 102
2. Identify the common factors of both numbers:
Common factors: 1, 3, 17, 51
3. Determine the greatest common factor (GCF):
The greatest common factor of 153 and 102 is 51.
Therefore, the greatest common factor of 153 and 102 is 51.
To find the greatest common factor (GCF) of two numbers, such as 153 and 102, we can use the prime factorization method. Here's how you can do it:
1. Find the prime factorization of each number.
- Prime factors of 153: 3 × 3 × 17
- Prime factors of 102: 2 × 3 × 17
2. Identify the common prime factors in both numbers. In this case, they are 3 and 17.
3. Multiply all the common prime factors together to find the greatest common factor.
- GCF of 153 and 102: 3 × 17 = 51
So, the greatest common factor of 153 and 102 is 51.