What is the Greatest Common Factor of 64764 and 64771?

Greatest common factor (GCF) of 64764 and 64771 is 7.

GCF(64764,64771) = 7

We will now calculate the prime factors of 64764 and 64771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64764 and 64771.

How to find the GCF of 64764 and 64771?

We will first find the prime factorization of 64764 and 64771. After we will calculate the factors of 64764 and 64771 and find the biggest common factor number .

Step-1: Prime Factorization of 64764

Prime factors of 64764 are 2, 3, 7, 257. Prime factorization of 64764 in exponential form is:

64764 = 2² × 3² × 7¹ × 257¹

Step-2: Prime Factorization of 64771

Prime factors of 64771 are 7, 19, 487. Prime factorization of 64771 in exponential form is:

64771 = 7¹ × 19¹ × 487¹

Step-3: Factors of 64764

List of positive integer factors of 64764 that divides 64764 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 257, 514, 771, 1028, 1542, 1799, 2313, 3084, 3598, 4626, 5397, 7196, 9252, 10794, 16191, 21588, 32382

Step-4: Factors of 64771

List of positive integer factors of 64771 that divides 64764 without a remainder.

1, 7, 19, 133, 487, 3409, 9253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64764 and 64771. The biggest common factor number is the GCF number.
So the greatest common factor 64764 and 64771 is 7.

Also check out the Least Common Multiple of 64764 and 64771