What is the Greatest Common Factor of 17528 and 17542?

Greatest common factor (GCF) of 17528 and 17542 is 14.

GCF(17528,17542) = 14

We will now calculate the prime factors of 17528 and 17542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17528 and 17542.

How to find the GCF of 17528 and 17542?

We will first find the prime factorization of 17528 and 17542. After we will calculate the factors of 17528 and 17542 and find the biggest common factor number .

Step-1: Prime Factorization of 17528

Prime factors of 17528 are 2, 7, 313. Prime factorization of 17528 in exponential form is:

17528 = 2³ × 7¹ × 313¹

Step-2: 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-3: Factors of 17528

List of positive integer factors of 17528 that divides 17528 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 313, 626, 1252, 2191, 2504, 4382, 8764

Step-4: Factors of 17542

List of positive integer factors of 17542 that divides 17528 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17528 and 17542. The biggest common factor number is the GCF number.
So the greatest common factor 17528 and 17542 is 14.

Also check out the Least Common Multiple of 17528 and 17542