What is the Greatest Common Factor of 42500 and 42517?

Greatest common factor (GCF) of 42500 and 42517 is 17.

GCF(42500,42517) = 17

We will now calculate the prime factors of 42500 and 42517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42500 and 42517.

How to find the GCF of 42500 and 42517?

We will first find the prime factorization of 42500 and 42517. After we will calculate the factors of 42500 and 42517 and find the biggest common factor number .

Step-1: Prime Factorization of 42500

Prime factors of 42500 are 2, 5, 17. Prime factorization of 42500 in exponential form is:

42500 = 2² × 5⁴ × 17¹

Step-2: 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-3: Factors of 42500

List of positive integer factors of 42500 that divides 42500 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 625, 850, 1250, 1700, 2125, 2500, 4250, 8500, 10625, 21250

Step-4: Factors of 42517

List of positive integer factors of 42517 that divides 42500 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42500 and 42517. The biggest common factor number is the GCF number.
So the greatest common factor 42500 and 42517 is 17.

Also check out the Least Common Multiple of 42500 and 42517