What is the Greatest Common Factor of 64746 and 64757?

Greatest common factor (GCF) of 64746 and 64757 is 11.

GCF(64746,64757) = 11

We will now calculate the prime factors of 64746 and 64757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64746 and 64757.

How to find the GCF of 64746 and 64757?

We will first find the prime factorization of 64746 and 64757. After we will calculate the factors of 64746 and 64757 and find the biggest common factor number .

Step-1: Prime Factorization of 64746

Prime factors of 64746 are 2, 3, 11, 109. Prime factorization of 64746 in exponential form is:

64746 = 2¹ × 3³ × 11¹ × 109¹

Step-2: Prime Factorization of 64757

Prime factors of 64757 are 7, 11, 29. Prime factorization of 64757 in exponential form is:

64757 = 7¹ × 11¹ × 29²

Step-3: Factors of 64746

List of positive integer factors of 64746 that divides 64746 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 109, 198, 218, 297, 327, 594, 654, 981, 1199, 1962, 2398, 2943, 3597, 5886, 7194, 10791, 21582, 32373

Step-4: Factors of 64757

List of positive integer factors of 64757 that divides 64746 without a remainder.

1, 7, 11, 29, 77, 203, 319, 841, 2233, 5887, 9251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64746 and 64757. The biggest common factor number is the GCF number.
So the greatest common factor 64746 and 64757 is 11.

Also check out the Least Common Multiple of 64746 and 64757