What is the Greatest Common Factor of 71574 and 71589?

Greatest common factor (GCF) of 71574 and 71589 is 3.

GCF(71574,71589) = 3

We will now calculate the prime factors of 71574 and 71589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71574 and 71589.

How to find the GCF of 71574 and 71589?

We will first find the prime factorization of 71574 and 71589. After we will calculate the factors of 71574 and 71589 and find the biggest common factor number .

Step-1: Prime Factorization of 71574

Prime factors of 71574 are 2, 3, 79, 151. Prime factorization of 71574 in exponential form is:

71574 = 2¹ × 3¹ × 79¹ × 151¹

Step-2: Prime Factorization of 71589

Prime factors of 71589 are 3, 7, 487. Prime factorization of 71589 in exponential form is:

71589 = 3¹ × 7² × 487¹

Step-3: Factors of 71574

List of positive integer factors of 71574 that divides 71574 without a remainder.

1, 2, 3, 6, 79, 151, 158, 237, 302, 453, 474, 906, 11929, 23858, 35787

Step-4: Factors of 71589

List of positive integer factors of 71589 that divides 71574 without a remainder.

1, 3, 7, 21, 49, 147, 487, 1461, 3409, 10227, 23863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71574 and 71589. The biggest common factor number is the GCF number.
So the greatest common factor 71574 and 71589 is 3.

Also check out the Least Common Multiple of 71574 and 71589