What is the Greatest Common Factor of 64785 and 64790?

Greatest common factor (GCF) of 64785 and 64790 is 5.

GCF(64785,64790) = 5

We will now calculate the prime factors of 64785 and 64790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64785 and 64790.

How to find the GCF of 64785 and 64790?

We will first find the prime factorization of 64785 and 64790. After we will calculate the factors of 64785 and 64790 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 64790

Prime factors of 64790 are 2, 5, 11, 19, 31. Prime factorization of 64790 in exponential form is:

64790 = 2¹ × 5¹ × 11¹ × 19¹ × 31¹

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 64790

List of positive integer factors of 64790 that divides 64785 without a remainder.

1, 2, 5, 10, 11, 19, 22, 31, 38, 55, 62, 95, 110, 155, 190, 209, 310, 341, 418, 589, 682, 1045, 1178, 1705, 2090, 2945, 3410, 5890, 6479, 12958, 32395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64785 and 64790. The biggest common factor number is the GCF number.
So the greatest common factor 64785 and 64790 is 5.

Also check out the Least Common Multiple of 64785 and 64790