What is the Greatest Common Factor of 42517 and 42534?

Greatest common factor (GCF) of 42517 and 42534 is 17.

GCF(42517,42534) = 17

We will now calculate the prime factors of 42517 and 42534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42517 and 42534.

How to find the GCF of 42517 and 42534?

We will first find the prime factorization of 42517 and 42534. After we will calculate the factors of 42517 and 42534 and find the biggest common factor number .

Step-1: Prime Factorization of 42517

Prime factors of 42517 are 17, 41, 61. Prime factorization of 42517 in exponential form is:

42517 = 17¹ × 41¹ × 61¹

Step-2: Prime Factorization of 42534

Prime factors of 42534 are 2, 3, 17, 139. Prime factorization of 42534 in exponential form is:

42534 = 2¹ × 3² × 17¹ × 139¹

Step-3: Factors of 42517

List of positive integer factors of 42517 that divides 42517 without a remainder.

1, 17, 41, 61, 697, 1037, 2501

Step-4: Factors of 42534

List of positive integer factors of 42534 that divides 42517 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 139, 153, 278, 306, 417, 834, 1251, 2363, 2502, 4726, 7089, 14178, 21267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42517 and 42534. The biggest common factor number is the GCF number.
So the greatest common factor 42517 and 42534 is 17.

Also check out the Least Common Multiple of 42517 and 42534