What is the Greatest Common Factor of 64792 and 64799?

Greatest common factor (GCF) of 64792 and 64799 is 7.

GCF(64792,64799) = 7

We will now calculate the prime factors of 64792 and 64799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64792 and 64799.

How to find the GCF of 64792 and 64799?

We will first find the prime factorization of 64792 and 64799. After we will calculate the factors of 64792 and 64799 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 64799

Prime factors of 64799 are 7, 9257. Prime factorization of 64799 in exponential form is:

64799 = 7¹ × 9257¹

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 64799

List of positive integer factors of 64799 that divides 64792 without a remainder.

1, 7, 9257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64792 and 64799. The biggest common factor number is the GCF number.
So the greatest common factor 64792 and 64799 is 7.

Also check out the Least Common Multiple of 64792 and 64799