What is the Greatest Common Factor of 84924 and 84931?

Greatest common factor (GCF) of 84924 and 84931 is 7.

GCF(84924,84931) = 7

We will now calculate the prime factors of 84924 and 84931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84924 and 84931.

How to find the GCF of 84924 and 84931?

We will first find the prime factorization of 84924 and 84931. After we will calculate the factors of 84924 and 84931 and find the biggest common factor number .

Step-1: Prime Factorization of 84924

Prime factors of 84924 are 2, 3, 7, 337. Prime factorization of 84924 in exponential form is:

84924 = 2² × 3² × 7¹ × 337¹

Step-2: Prime Factorization of 84931

Prime factors of 84931 are 7, 11, 1103. Prime factorization of 84931 in exponential form is:

84931 = 7¹ × 11¹ × 1103¹

Step-3: Factors of 84924

List of positive integer factors of 84924 that divides 84924 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 337, 674, 1011, 1348, 2022, 2359, 3033, 4044, 4718, 6066, 7077, 9436, 12132, 14154, 21231, 28308, 42462

Step-4: Factors of 84931

List of positive integer factors of 84931 that divides 84924 without a remainder.

1, 7, 11, 77, 1103, 7721, 12133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84924 and 84931. The biggest common factor number is the GCF number.
So the greatest common factor 84924 and 84931 is 7.

Also check out the Least Common Multiple of 84924 and 84931