What is the Greatest Common Factor of 64719 and 64725?

Greatest common factor (GCF) of 64719 and 64725 is 3.

GCF(64719,64725) = 3

We will now calculate the prime factors of 64719 and 64725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64719 and 64725.

How to find the GCF of 64719 and 64725?

We will first find the prime factorization of 64719 and 64725. After we will calculate the factors of 64719 and 64725 and find the biggest common factor number .

Step-1: Prime Factorization of 64719

Prime factors of 64719 are 3, 17, 47. Prime factorization of 64719 in exponential form is:

64719 = 3⁴ × 17¹ × 47¹

Step-2: Prime Factorization of 64725

Prime factors of 64725 are 3, 5, 863. Prime factorization of 64725 in exponential form is:

64725 = 3¹ × 5² × 863¹

Step-3: Factors of 64719

List of positive integer factors of 64719 that divides 64719 without a remainder.

1, 3, 9, 17, 27, 47, 51, 81, 141, 153, 423, 459, 799, 1269, 1377, 2397, 3807, 7191, 21573

Step-4: Factors of 64725

List of positive integer factors of 64725 that divides 64719 without a remainder.

1, 3, 5, 15, 25, 75, 863, 2589, 4315, 12945, 21575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64719 and 64725. The biggest common factor number is the GCF number.
So the greatest common factor 64719 and 64725 is 3.

Also check out the Least Common Multiple of 64719 and 64725