What is the Greatest Common Factor of 64752 and 64772?

Greatest common factor (GCF) of 64752 and 64772 is 4.

GCF(64752,64772) = 4

We will now calculate the prime factors of 64752 and 64772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64752 and 64772.

How to find the GCF of 64752 and 64772?

We will first find the prime factorization of 64752 and 64772. After we will calculate the factors of 64752 and 64772 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 64772

Prime factors of 64772 are 2, 16193. Prime factorization of 64772 in exponential form is:

64772 = 2² × 16193¹

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 64772

List of positive integer factors of 64772 that divides 64752 without a remainder.

1, 2, 4, 16193, 32386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64752 and 64772. The biggest common factor number is the GCF number.
So the greatest common factor 64752 and 64772 is 4.

Also check out the Least Common Multiple of 64752 and 64772