What is the Greatest Common Factor of 17542 and 17552?

Greatest common factor (GCF) of 17542 and 17552 is 2.

GCF(17542,17552) = 2

We will now calculate the prime factors of 17542 and 17552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17542 and 17552.

How to find the GCF of 17542 and 17552?

We will first find the prime factorization of 17542 and 17552. After we will calculate the factors of 17542 and 17552 and find the biggest common factor number .

Step-1: Prime Factorization of 17542

Prime factors of 17542 are 2, 7, 179. Prime factorization of 17542 in exponential form is:

17542 = 2¹ × 7² × 179¹

Step-2: Prime Factorization of 17552

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

17552 = 2⁴ × 1097¹

Step-3: Factors of 17542

List of positive integer factors of 17542 that divides 17542 without a remainder.

1, 2, 7, 14, 49, 98, 179, 358, 1253, 2506, 8771

Step-4: Factors of 17552

List of positive integer factors of 17552 that divides 17542 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17542 and 17552. The biggest common factor number is the GCF number.
So the greatest common factor 17542 and 17552 is 2.

Also check out the Least Common Multiple of 17542 and 17552