What is the Greatest Common Factor of 64676 and 64688?

Greatest common factor (GCF) of 64676 and 64688 is 4.

GCF(64676,64688) = 4

We will now calculate the prime factors of 64676 and 64688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64676 and 64688.

How to find the GCF of 64676 and 64688?

We will first find the prime factorization of 64676 and 64688. After we will calculate the factors of 64676 and 64688 and find the biggest common factor number .

Step-1: Prime Factorization of 64676

Prime factors of 64676 are 2, 19, 23, 37. Prime factorization of 64676 in exponential form is:

64676 = 2² × 19¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 64676

List of positive integer factors of 64676 that divides 64676 without a remainder.

1, 2, 4, 19, 23, 37, 38, 46, 74, 76, 92, 148, 437, 703, 851, 874, 1406, 1702, 1748, 2812, 3404, 16169, 32338

Step-4: Factors of 64688

List of positive integer factors of 64688 that divides 64676 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64676 and 64688. The biggest common factor number is the GCF number.
So the greatest common factor 64676 and 64688 is 4.

Also check out the Least Common Multiple of 64676 and 64688