What is the Greatest Common Factor of 42570 and 42590?

Greatest common factor (GCF) of 42570 and 42590 is 10.

GCF(42570,42590) = 10

We will now calculate the prime factors of 42570 and 42590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42570 and 42590.

How to find the GCF of 42570 and 42590?

We will first find the prime factorization of 42570 and 42590. After we will calculate the factors of 42570 and 42590 and find the biggest common factor number .

Step-1: Prime Factorization of 42570

Prime factors of 42570 are 2, 3, 5, 11, 43. Prime factorization of 42570 in exponential form is:

42570 = 2¹ × 3² × 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 42590

Prime factors of 42590 are 2, 5, 4259. Prime factorization of 42590 in exponential form is:

42590 = 2¹ × 5¹ × 4259¹

Step-3: Factors of 42570

List of positive integer factors of 42570 that divides 42570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 43, 45, 55, 66, 86, 90, 99, 110, 129, 165, 198, 215, 258, 330, 387, 430, 473, 495, 645, 774, 946, 990, 1290, 1419, 1935, 2365, 2838, 3870, 4257, 4730, 7095, 8514, 14190, 21285

Step-4: Factors of 42590

List of positive integer factors of 42590 that divides 42570 without a remainder.

1, 2, 5, 10, 4259, 8518, 21295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42570 and 42590. The biggest common factor number is the GCF number.
So the greatest common factor 42570 and 42590 is 10.

Also check out the Least Common Multiple of 42570 and 42590