what is the GCF for 26 & 104?
26 = 1, 2, 13, 26
104 = 1, 2, 4, 8, 13, 26, 52, 104
so = 26 would be it
thanks Sara:-)
you're very welcome:-)
To find the greatest common factor (GCF) of two numbers, we can use the method of prime factorization.
First, we start by finding the prime factors of both numbers.
For 26:
26 is an even number, so it is divisible by 2.
26 ÷ 2 = 13
13 is a prime number, so we cannot further divide it.
For 104:
104 is an even number, so it is divisible by 2.
104 ÷ 2 = 52
52 is also an even number, so it is divisible by 2 again.
52 ÷ 2 = 26
26 is divisible by 2 one more time.
26 ÷ 2 = 13
13 is a prime number.
Now, we have the prime factorization of both numbers:
26 = 2 × 13
104 = 2 × 2 × 2 × 13
Next, we find the common factors by taking the common prime factors raised to the lowest exponent. In this case, the common prime factor is 13.
Since both numbers have 13 as a prime factor, the GCF of 26 and 104 is 13.