What is the Greatest Common Factor of 42574 and 42589?

Greatest common factor (GCF) of 42574 and 42589 is 1.

GCF(42574,42589) = 1

We will now calculate the prime factors of 42574 and 42589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42574 and 42589.

How to find the GCF of 42574 and 42589?

We will first find the prime factorization of 42574 and 42589. After we will calculate the factors of 42574 and 42589 and find the biggest common factor number .

Step-1: Prime Factorization of 42574

Prime factors of 42574 are 2, 7, 3041. Prime factorization of 42574 in exponential form is:

42574 = 2¹ × 7¹ × 3041¹

Step-2: Prime Factorization of 42589

Prime factors of 42589 are 42589. Prime factorization of 42589 in exponential form is:

42589 = 42589¹

Step-3: Factors of 42574

List of positive integer factors of 42574 that divides 42574 without a remainder.

1, 2, 7, 14, 3041, 6082, 21287

Step-4: Factors of 42589

List of positive integer factors of 42589 that divides 42574 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42574 and 42589. The biggest common factor number is the GCF number.
So the greatest common factor 42574 and 42589 is 1.

Also check out the Least Common Multiple of 42574 and 42589