What is the Greatest Common Factor of 84612 and 84624?

Greatest common factor (GCF) of 84612 and 84624 is 12.

GCF(84612,84624) = 12

We will now calculate the prime factors of 84612 and 84624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84612 and 84624.

How to find the GCF of 84612 and 84624?

We will first find the prime factorization of 84612 and 84624. After we will calculate the factors of 84612 and 84624 and find the biggest common factor number .

Step-1: Prime Factorization of 84612

Prime factors of 84612 are 2, 3, 11, 641. Prime factorization of 84612 in exponential form is:

84612 = 2² × 3¹ × 11¹ × 641¹

Step-2: Prime Factorization of 84624

Prime factors of 84624 are 2, 3, 41, 43. Prime factorization of 84624 in exponential form is:

84624 = 2⁴ × 3¹ × 41¹ × 43¹

Step-3: Factors of 84612

List of positive integer factors of 84612 that divides 84612 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 641, 1282, 1923, 2564, 3846, 7051, 7692, 14102, 21153, 28204, 42306

Step-4: Factors of 84624

List of positive integer factors of 84624 that divides 84612 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 43, 48, 82, 86, 123, 129, 164, 172, 246, 258, 328, 344, 492, 516, 656, 688, 984, 1032, 1763, 1968, 2064, 3526, 5289, 7052, 10578, 14104, 21156, 28208, 42312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84612 and 84624. The biggest common factor number is the GCF number.
So the greatest common factor 84612 and 84624 is 12.

Also check out the Least Common Multiple of 84612 and 84624