What is the Greatest Common Factor of 21624 and 21642?

Greatest common factor (GCF) of 21624 and 21642 is 6.

GCF(21624,21642) = 6

We will now calculate the prime factors of 21624 and 21642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21624 and 21642.

How to find the GCF of 21624 and 21642?

We will first find the prime factorization of 21624 and 21642. After we will calculate the factors of 21624 and 21642 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 21642

Prime factors of 21642 are 2, 3, 3607. Prime factorization of 21642 in exponential form is:

21642 = 2¹ × 3¹ × 3607¹

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 21642

List of positive integer factors of 21642 that divides 21624 without a remainder.

1, 2, 3, 6, 3607, 7214, 10821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21624 and 21642. The biggest common factor number is the GCF number.
So the greatest common factor 21624 and 21642 is 6.

Also check out the Least Common Multiple of 21624 and 21642