What is the Greatest Common Factor of 64792 and 64805?

Greatest common factor (GCF) of 64792 and 64805 is 13.

GCF(64792,64805) = 13

We will now calculate the prime factors of 64792 and 64805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64792 and 64805.

How to find the GCF of 64792 and 64805?

We will first find the prime factorization of 64792 and 64805. After we will calculate the factors of 64792 and 64805 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64805

Prime factors of 64805 are 5, 13, 997. Prime factorization of 64805 in exponential form is:

64805 = 5¹ × 13¹ × 997¹

Step-3: Factors of 64792

List of positive integer factors of 64792 that divides 64792 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

Step-4: Factors of 64805

List of positive integer factors of 64805 that divides 64792 without a remainder.

1, 5, 13, 65, 997, 4985, 12961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64792 and 64805. The biggest common factor number is the GCF number.
So the greatest common factor 64792 and 64805 is 13.

Also check out the Least Common Multiple of 64792 and 64805