What is the Greatest Common Factor of 64752 and 64757?

Greatest common factor (GCF) of 64752 and 64757 is 1.

GCF(64752,64757) = 1

We will now calculate the prime factors of 64752 and 64757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64752 and 64757.

How to find the GCF of 64752 and 64757?

We will first find the prime factorization of 64752 and 64757. After we will calculate the factors of 64752 and 64757 and find the biggest common factor number .

Step-1: Prime Factorization of 64752

Prime factors of 64752 are 2, 3, 19, 71. Prime factorization of 64752 in exponential form is:

64752 = 2⁴ × 3¹ × 19¹ × 71¹

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 64752

List of positive integer factors of 64752 that divides 64752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 71, 76, 114, 142, 152, 213, 228, 284, 304, 426, 456, 568, 852, 912, 1136, 1349, 1704, 2698, 3408, 4047, 5396, 8094, 10792, 16188, 21584, 32376

Step-4: Factors of 64757

List of positive integer factors of 64757 that divides 64752 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 64752 and 64757. The biggest common factor number is the GCF number.
So the greatest common factor 64752 and 64757 is 1.

Also check out the Least Common Multiple of 64752 and 64757