What is the Greatest Common Factor of 42058 and 42075?

Greatest common factor (GCF) of 42058 and 42075 is 17.

GCF(42058,42075) = 17

We will now calculate the prime factors of 42058 and 42075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42058 and 42075.

How to find the GCF of 42058 and 42075?

We will first find the prime factorization of 42058 and 42075. After we will calculate the factors of 42058 and 42075 and find the biggest common factor number .

Step-1: Prime Factorization of 42058

Prime factors of 42058 are 2, 17, 1237. Prime factorization of 42058 in exponential form is:

42058 = 2¹ × 17¹ × 1237¹

Step-2: Prime Factorization of 42075

Prime factors of 42075 are 3, 5, 11, 17. Prime factorization of 42075 in exponential form is:

42075 = 3² × 5² × 11¹ × 17¹

Step-3: Factors of 42058

List of positive integer factors of 42058 that divides 42058 without a remainder.

1, 2, 17, 34, 1237, 2474, 21029

Step-4: Factors of 42075

List of positive integer factors of 42075 that divides 42058 without a remainder.

1, 3, 5, 9, 11, 15, 17, 25, 33, 45, 51, 55, 75, 85, 99, 153, 165, 187, 225, 255, 275, 425, 495, 561, 765, 825, 935, 1275, 1683, 2475, 2805, 3825, 4675, 8415, 14025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42058 and 42075. The biggest common factor number is the GCF number.
So the greatest common factor 42058 and 42075 is 17.

Also check out the Least Common Multiple of 42058 and 42075