What is the Greatest Common Factor of 64688 and 64701?

Greatest common factor (GCF) of 64688 and 64701 is 13.

GCF(64688,64701) = 13

We will now calculate the prime factors of 64688 and 64701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64688 and 64701.

How to find the GCF of 64688 and 64701?

We will first find the prime factorization of 64688 and 64701. After we will calculate the factors of 64688 and 64701 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 64701

Prime factors of 64701 are 3, 7, 13, 79. Prime factorization of 64701 in exponential form is:

64701 = 3² × 7¹ × 13¹ × 79¹

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 64701

List of positive integer factors of 64701 that divides 64688 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 79, 91, 117, 237, 273, 553, 711, 819, 1027, 1659, 3081, 4977, 7189, 9243, 21567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64688 and 64701. The biggest common factor number is the GCF number.
So the greatest common factor 64688 and 64701 is 13.

Also check out the Least Common Multiple of 64688 and 64701