What is the Greatest Common Factor of 64752 and 64761?

Greatest common factor (GCF) of 64752 and 64761 is 3.

GCF(64752,64761) = 3

We will now calculate the prime factors of 64752 and 64761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64752 and 64761.

How to find the GCF of 64752 and 64761?

We will first find the prime factorization of 64752 and 64761. After we will calculate the factors of 64752 and 64761 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 64761

Prime factors of 64761 are 3, 21587. Prime factorization of 64761 in exponential form is:

64761 = 3¹ × 21587¹

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 64761

List of positive integer factors of 64761 that divides 64752 without a remainder.

1, 3, 21587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64752 and 64761. The biggest common factor number is the GCF number.
So the greatest common factor 64752 and 64761 is 3.

Also check out the Least Common Multiple of 64752 and 64761