What is the Greatest Common Factor of 84924 and 84936?

Greatest common factor (GCF) of 84924 and 84936 is 12.

GCF(84924,84936) = 12

We will now calculate the prime factors of 84924 and 84936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84924 and 84936.

How to find the GCF of 84924 and 84936?

We will first find the prime factorization of 84924 and 84936. After we will calculate the factors of 84924 and 84936 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 84936

Prime factors of 84936 are 2, 3, 3539. Prime factorization of 84936 in exponential form is:

84936 = 2³ × 3¹ × 3539¹

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 84936

List of positive integer factors of 84936 that divides 84924 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3539, 7078, 10617, 14156, 21234, 28312, 42468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84924 and 84936. The biggest common factor number is the GCF number.
So the greatest common factor 84924 and 84936 is 12.

Also check out the Least Common Multiple of 84924 and 84936