What is the Greatest Common Factor of 84624 and 84633?

Greatest common factor (GCF) of 84624 and 84633 is 3.

GCF(84624,84633) = 3

We will now calculate the prime factors of 84624 and 84633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84624 and 84633.

How to find the GCF of 84624 and 84633?

We will first find the prime factorization of 84624 and 84633. After we will calculate the factors of 84624 and 84633 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84633

Prime factors of 84633 are 3, 28211. Prime factorization of 84633 in exponential form is:

84633 = 3¹ × 28211¹

Step-3: Factors of 84624

List of positive integer factors of 84624 that divides 84624 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

Step-4: Factors of 84633

List of positive integer factors of 84633 that divides 84624 without a remainder.

1, 3, 28211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84624 and 84633. The biggest common factor number is the GCF number.
So the greatest common factor 84624 and 84633 is 3.

Also check out the Least Common Multiple of 84624 and 84633