What is the Greatest Common Factor of 17612 and 17624?

Greatest common factor (GCF) of 17612 and 17624 is 4.

GCF(17612,17624) = 4

We will now calculate the prime factors of 17612 and 17624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17612 and 17624.

How to find the GCF of 17612 and 17624?

We will first find the prime factorization of 17612 and 17624. After we will calculate the factors of 17612 and 17624 and find the biggest common factor number .

Step-1: Prime Factorization of 17612

Prime factors of 17612 are 2, 7, 17, 37. Prime factorization of 17612 in exponential form is:

17612 = 2² × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 17624

Prime factors of 17624 are 2, 2203. Prime factorization of 17624 in exponential form is:

17624 = 2³ × 2203¹

Step-3: Factors of 17612

List of positive integer factors of 17612 that divides 17612 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 37, 68, 74, 119, 148, 238, 259, 476, 518, 629, 1036, 1258, 2516, 4403, 8806

Step-4: Factors of 17624

List of positive integer factors of 17624 that divides 17612 without a remainder.

1, 2, 4, 8, 2203, 4406, 8812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17612 and 17624. The biggest common factor number is the GCF number.
So the greatest common factor 17612 and 17624 is 4.

Also check out the Least Common Multiple of 17612 and 17624