What is the Greatest Common Factor of 42055 and 42075?

Greatest common factor (GCF) of 42055 and 42075 is 5.

GCF(42055,42075) = 5

We will now calculate the prime factors of 42055 and 42075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42055 and 42075.

How to find the GCF of 42055 and 42075?

We will first find the prime factorization of 42055 and 42075. After we will calculate the factors of 42055 and 42075 and find the biggest common factor number .

Step-1: Prime Factorization of 42055

Prime factors of 42055 are 5, 13, 647. Prime factorization of 42055 in exponential form is:

42055 = 5¹ × 13¹ × 647¹

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 42055

List of positive integer factors of 42055 that divides 42055 without a remainder.

1, 5, 13, 65, 647, 3235, 8411

Step-4: Factors of 42075

List of positive integer factors of 42075 that divides 42055 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 42055 and 42075. The biggest common factor number is the GCF number.
So the greatest common factor 42055 and 42075 is 5.

Also check out the Least Common Multiple of 42055 and 42075