What is the Greatest Common Factor of 64767 and 64785?

Greatest common factor (GCF) of 64767 and 64785 is 3.

GCF(64767,64785) = 3

We will now calculate the prime factors of 64767 and 64785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64767 and 64785.

How to find the GCF of 64767 and 64785?

We will first find the prime factorization of 64767 and 64785. After we will calculate the factors of 64767 and 64785 and find the biggest common factor number .

Step-1: Prime Factorization of 64767

Prime factors of 64767 are 3, 21589. Prime factorization of 64767 in exponential form is:

64767 = 3¹ × 21589¹

Step-2: Prime Factorization of 64785

Prime factors of 64785 are 3, 5, 7, 617. Prime factorization of 64785 in exponential form is:

64785 = 3¹ × 5¹ × 7¹ × 617¹

Step-3: Factors of 64767

List of positive integer factors of 64767 that divides 64767 without a remainder.

1, 3, 21589

Step-4: Factors of 64785

List of positive integer factors of 64785 that divides 64767 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 617, 1851, 3085, 4319, 9255, 12957, 21595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64767 and 64785. The biggest common factor number is the GCF number.
So the greatest common factor 64767 and 64785 is 3.

Also check out the Least Common Multiple of 64767 and 64785