What is the Greatest Common Factor of 17552 and 17572?

Greatest common factor (GCF) of 17552 and 17572 is 4.

GCF(17552,17572) = 4

We will now calculate the prime factors of 17552 and 17572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17552 and 17572.

How to find the GCF of 17552 and 17572?

We will first find the prime factorization of 17552 and 17572. After we will calculate the factors of 17552 and 17572 and find the biggest common factor number .

Step-1: Prime Factorization of 17552

Prime factors of 17552 are 2, 1097. Prime factorization of 17552 in exponential form is:

17552 = 2⁴ × 1097¹

Step-2: Prime Factorization of 17572

Prime factors of 17572 are 2, 23, 191. Prime factorization of 17572 in exponential form is:

17572 = 2² × 23¹ × 191¹

Step-3: Factors of 17552

List of positive integer factors of 17552 that divides 17552 without a remainder.

1, 2, 4, 8, 16, 1097, 2194, 4388, 8776

Step-4: Factors of 17572

List of positive integer factors of 17572 that divides 17552 without a remainder.

1, 2, 4, 23, 46, 92, 191, 382, 764, 4393, 8786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17552 and 17572. The biggest common factor number is the GCF number.
So the greatest common factor 17552 and 17572 is 4.

Also check out the Least Common Multiple of 17552 and 17572