What is the Greatest Common Factor of 84952 and 84959?

Greatest common factor (GCF) of 84952 and 84959 is 7.

GCF(84952,84959) = 7

We will now calculate the prime factors of 84952 and 84959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84952 and 84959.

How to find the GCF of 84952 and 84959?

We will first find the prime factorization of 84952 and 84959. After we will calculate the factors of 84952 and 84959 and find the biggest common factor number .

Step-1: Prime Factorization of 84952

Prime factors of 84952 are 2, 7, 37, 41. Prime factorization of 84952 in exponential form is:

84952 = 2³ × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 84959

Prime factors of 84959 are 7, 53, 229. Prime factorization of 84959 in exponential form is:

84959 = 7¹ × 53¹ × 229¹

Step-3: Factors of 84952

List of positive integer factors of 84952 that divides 84952 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 41, 56, 74, 82, 148, 164, 259, 287, 296, 328, 518, 574, 1036, 1148, 1517, 2072, 2296, 3034, 6068, 10619, 12136, 21238, 42476

Step-4: Factors of 84959

List of positive integer factors of 84959 that divides 84952 without a remainder.

1, 7, 53, 229, 371, 1603, 12137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84952 and 84959. The biggest common factor number is the GCF number.
So the greatest common factor 84952 and 84959 is 7.

Also check out the Least Common Multiple of 84952 and 84959