What is the Greatest Common Factor of 34670 and 34688?

Greatest common factor (GCF) of 34670 and 34688 is 2.

GCF(34670,34688) = 2

We will now calculate the prime factors of 34670 and 34688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34670 and 34688.

How to find the GCF of 34670 and 34688?

We will first find the prime factorization of 34670 and 34688. After we will calculate the factors of 34670 and 34688 and find the biggest common factor number .

Step-1: Prime Factorization of 34670

Prime factors of 34670 are 2, 5, 3467. Prime factorization of 34670 in exponential form is:

34670 = 2¹ × 5¹ × 3467¹

Step-2: Prime Factorization of 34688

Prime factors of 34688 are 2, 271. Prime factorization of 34688 in exponential form is:

34688 = 2⁷ × 271¹

Step-3: Factors of 34670

List of positive integer factors of 34670 that divides 34670 without a remainder.

1, 2, 5, 10, 3467, 6934, 17335

Step-4: Factors of 34688

List of positive integer factors of 34688 that divides 34670 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 271, 542, 1084, 2168, 4336, 8672, 17344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34670 and 34688. The biggest common factor number is the GCF number.
So the greatest common factor 34670 and 34688 is 2.

Also check out the Least Common Multiple of 34670 and 34688