What is the Greatest Common Factor of 64677 and 64695?

Greatest common factor (GCF) of 64677 and 64695 is 3.

GCF(64677,64695) = 3

We will now calculate the prime factors of 64677 and 64695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64677 and 64695.

How to find the GCF of 64677 and 64695?

We will first find the prime factorization of 64677 and 64695. After we will calculate the factors of 64677 and 64695 and find the biggest common factor number .

Step-1: Prime Factorization of 64677

Prime factors of 64677 are 3, 21559. Prime factorization of 64677 in exponential form is:

64677 = 3¹ × 21559¹

Step-2: Prime Factorization of 64695

Prime factors of 64695 are 3, 5, 19, 227. Prime factorization of 64695 in exponential form is:

64695 = 3¹ × 5¹ × 19¹ × 227¹

Step-3: Factors of 64677

List of positive integer factors of 64677 that divides 64677 without a remainder.

1, 3, 21559

Step-4: Factors of 64695

List of positive integer factors of 64695 that divides 64677 without a remainder.

1, 3, 5, 15, 19, 57, 95, 227, 285, 681, 1135, 3405, 4313, 12939, 21565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64677 and 64695. The biggest common factor number is the GCF number.
So the greatest common factor 64677 and 64695 is 3.

Also check out the Least Common Multiple of 64677 and 64695