What is the Greatest Common Factor of 21624 and 21628?

Greatest common factor (GCF) of 21624 and 21628 is 4.

GCF(21624,21628) = 4

We will now calculate the prime factors of 21624 and 21628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21624 and 21628.

How to find the GCF of 21624 and 21628?

We will first find the prime factorization of 21624 and 21628. After we will calculate the factors of 21624 and 21628 and find the biggest common factor number .

Step-1: Prime Factorization of 21624

Prime factors of 21624 are 2, 3, 17, 53. Prime factorization of 21624 in exponential form is:

21624 = 2³ × 3¹ × 17¹ × 53¹

Step-2: Prime Factorization of 21628

Prime factors of 21628 are 2, 5407. Prime factorization of 21628 in exponential form is:

21628 = 2² × 5407¹

Step-3: Factors of 21624

List of positive integer factors of 21624 that divides 21624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 53, 68, 102, 106, 136, 159, 204, 212, 318, 408, 424, 636, 901, 1272, 1802, 2703, 3604, 5406, 7208, 10812

Step-4: Factors of 21628

List of positive integer factors of 21628 that divides 21624 without a remainder.

1, 2, 4, 5407, 10814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21624 and 21628. The biggest common factor number is the GCF number.
So the greatest common factor 21624 and 21628 is 4.

Also check out the Least Common Multiple of 21624 and 21628