What is the Greatest Common Factor of 42185 and 42190?

Greatest common factor (GCF) of 42185 and 42190 is 5.

GCF(42185,42190) = 5

We will now calculate the prime factors of 42185 and 42190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42185 and 42190.

How to find the GCF of 42185 and 42190?

We will first find the prime factorization of 42185 and 42190. After we will calculate the factors of 42185 and 42190 and find the biggest common factor number .

Step-1: Prime Factorization of 42185

Prime factors of 42185 are 5, 11, 13, 59. Prime factorization of 42185 in exponential form is:

42185 = 5¹ × 11¹ × 13¹ × 59¹

Step-2: Prime Factorization of 42190

Prime factors of 42190 are 2, 5, 4219. Prime factorization of 42190 in exponential form is:

42190 = 2¹ × 5¹ × 4219¹

Step-3: Factors of 42185

List of positive integer factors of 42185 that divides 42185 without a remainder.

1, 5, 11, 13, 55, 59, 65, 143, 295, 649, 715, 767, 3245, 3835, 8437

Step-4: Factors of 42190

List of positive integer factors of 42190 that divides 42185 without a remainder.

1, 2, 5, 10, 4219, 8438, 21095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42185 and 42190. The biggest common factor number is the GCF number.
So the greatest common factor 42185 and 42190 is 5.

Also check out the Least Common Multiple of 42185 and 42190