What is the Greatest Common Factor of 64752 and 64762?

Greatest common factor (GCF) of 64752 and 64762 is 2.

GCF(64752,64762) = 2

We will now calculate the prime factors of 64752 and 64762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64752 and 64762.

How to find the GCF of 64752 and 64762?

We will first find the prime factorization of 64752 and 64762. After we will calculate the factors of 64752 and 64762 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 64762

Prime factors of 64762 are 2, 32381. Prime factorization of 64762 in exponential form is:

64762 = 2¹ × 32381¹

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 64762

List of positive integer factors of 64762 that divides 64752 without a remainder.

1, 2, 32381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64752 and 64762. The biggest common factor number is the GCF number.
So the greatest common factor 64752 and 64762 is 2.

Also check out the Least Common Multiple of 64752 and 64762