What is the Greatest Common Factor of 64785 and 64791?

Greatest common factor (GCF) of 64785 and 64791 is 3.

GCF(64785,64791) = 3

We will now calculate the prime factors of 64785 and 64791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64785 and 64791.

How to find the GCF of 64785 and 64791?

We will first find the prime factorization of 64785 and 64791. After we will calculate the factors of 64785 and 64791 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64791

Prime factors of 64791 are 3, 23, 313. Prime factorization of 64791 in exponential form is:

64791 = 3² × 23¹ × 313¹

Step-3: Factors of 64785

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

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

Step-4: Factors of 64791

List of positive integer factors of 64791 that divides 64785 without a remainder.

1, 3, 9, 23, 69, 207, 313, 939, 2817, 7199, 21597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64785 and 64791. The biggest common factor number is the GCF number.
So the greatest common factor 64785 and 64791 is 3.

Also check out the Least Common Multiple of 64785 and 64791