What is the Greatest Common Factor of 34688 and 34702?

Greatest common factor (GCF) of 34688 and 34702 is 2.

GCF(34688,34702) = 2

We will now calculate the prime factors of 34688 and 34702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34688 and 34702.

How to find the GCF of 34688 and 34702?

We will first find the prime factorization of 34688 and 34702. After we will calculate the factors of 34688 and 34702 and find the biggest common factor number .

Step-1: Prime Factorization of 34688

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

34688 = 2⁷ × 271¹

Step-2: Prime Factorization of 34702

Prime factors of 34702 are 2, 17351. Prime factorization of 34702 in exponential form is:

34702 = 2¹ × 17351¹

Step-3: Factors of 34688

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

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

Step-4: Factors of 34702

List of positive integer factors of 34702 that divides 34688 without a remainder.

1, 2, 17351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34688 and 34702. The biggest common factor number is the GCF number.
So the greatest common factor 34688 and 34702 is 2.

Also check out the Least Common Multiple of 34688 and 34702