What is the Greatest Common Factor of 64785 and 64792?

Greatest common factor (GCF) of 64785 and 64792 is 7.

GCF(64785,64792) = 7

We will now calculate the prime factors of 64785 and 64792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64785 and 64792.

How to find the GCF of 64785 and 64792?

We will first find the prime factorization of 64785 and 64792. After we will calculate the factors of 64785 and 64792 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 64792

Prime factors of 64792 are 2, 7, 13, 89. Prime factorization of 64792 in exponential form is:

64792 = 2³ × 7¹ × 13¹ × 89¹

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 64792

List of positive integer factors of 64792 that divides 64785 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 89, 91, 104, 178, 182, 356, 364, 623, 712, 728, 1157, 1246, 2314, 2492, 4628, 4984, 8099, 9256, 16198, 32396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64785 and 64792. The biggest common factor number is the GCF number.
So the greatest common factor 64785 and 64792 is 7.

Also check out the Least Common Multiple of 64785 and 64792