What is the Greatest Common Factor of 17535 and 17542?

Greatest common factor (GCF) of 17535 and 17542 is 7.

GCF(17535,17542) = 7

We will now calculate the prime factors of 17535 and 17542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17535 and 17542.

How to find the GCF of 17535 and 17542?

We will first find the prime factorization of 17535 and 17542. After we will calculate the factors of 17535 and 17542 and find the biggest common factor number .

Step-1: Prime Factorization of 17535

Prime factors of 17535 are 3, 5, 7, 167. Prime factorization of 17535 in exponential form is:

17535 = 3¹ × 5¹ × 7¹ × 167¹

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 17535

List of positive integer factors of 17535 that divides 17535 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 167, 501, 835, 1169, 2505, 3507, 5845

Step-4: Factors of 17542

List of positive integer factors of 17542 that divides 17535 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 17535 and 17542. The biggest common factor number is the GCF number.
So the greatest common factor 17535 and 17542 is 7.

Also check out the Least Common Multiple of 17535 and 17542