What is the Greatest Common Factor of 17616 and 17620?

Greatest common factor (GCF) of 17616 and 17620 is 4.

GCF(17616,17620) = 4

We will now calculate the prime factors of 17616 and 17620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17616 and 17620.

How to find the GCF of 17616 and 17620?

We will first find the prime factorization of 17616 and 17620. After we will calculate the factors of 17616 and 17620 and find the biggest common factor number .

Step-1: Prime Factorization of 17616

Prime factors of 17616 are 2, 3, 367. Prime factorization of 17616 in exponential form is:

17616 = 2⁴ × 3¹ × 367¹

Step-2: Prime Factorization of 17620

Prime factors of 17620 are 2, 5, 881. Prime factorization of 17620 in exponential form is:

17620 = 2² × 5¹ × 881¹

Step-3: Factors of 17616

List of positive integer factors of 17616 that divides 17616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808

Step-4: Factors of 17620

List of positive integer factors of 17620 that divides 17616 without a remainder.

1, 2, 4, 5, 10, 20, 881, 1762, 3524, 4405, 8810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17616 and 17620. The biggest common factor number is the GCF number.
So the greatest common factor 17616 and 17620 is 4.

Also check out the Least Common Multiple of 17616 and 17620