What is the Greatest Common Factor of 64688 and 64694?

Greatest common factor (GCF) of 64688 and 64694 is 2.

GCF(64688,64694) = 2

We will now calculate the prime factors of 64688 and 64694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64688 and 64694.

How to find the GCF of 64688 and 64694?

We will first find the prime factorization of 64688 and 64694. After we will calculate the factors of 64688 and 64694 and find the biggest common factor number .

Step-1: Prime Factorization of 64688

Prime factors of 64688 are 2, 13, 311. Prime factorization of 64688 in exponential form is:

64688 = 2⁴ × 13¹ × 311¹

Step-2: Prime Factorization of 64694

Prime factors of 64694 are 2, 7, 4621. Prime factorization of 64694 in exponential form is:

64694 = 2¹ × 7¹ × 4621¹

Step-3: Factors of 64688

List of positive integer factors of 64688 that divides 64688 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 311, 622, 1244, 2488, 4043, 4976, 8086, 16172, 32344

Step-4: Factors of 64694

List of positive integer factors of 64694 that divides 64688 without a remainder.

1, 2, 7, 14, 4621, 9242, 32347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64688 and 64694. The biggest common factor number is the GCF number.
So the greatest common factor 64688 and 64694 is 2.

Also check out the Least Common Multiple of 64688 and 64694