What is the Greatest Common Factor of 58527 and 58542?

Greatest common factor (GCF) of 58527 and 58542 is 3.

GCF(58527,58542) = 3

We will now calculate the prime factors of 58527 and 58542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58527 and 58542.

How to find the GCF of 58527 and 58542?

We will first find the prime factorization of 58527 and 58542. After we will calculate the factors of 58527 and 58542 and find the biggest common factor number .

Step-1: Prime Factorization of 58527

Prime factors of 58527 are 3, 7, 929. Prime factorization of 58527 in exponential form is:

58527 = 3² × 7¹ × 929¹

Step-2: Prime Factorization of 58542

Prime factors of 58542 are 2, 3, 11, 887. Prime factorization of 58542 in exponential form is:

58542 = 2¹ × 3¹ × 11¹ × 887¹

Step-3: Factors of 58527

List of positive integer factors of 58527 that divides 58527 without a remainder.

1, 3, 7, 9, 21, 63, 929, 2787, 6503, 8361, 19509

Step-4: Factors of 58542

List of positive integer factors of 58542 that divides 58527 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 887, 1774, 2661, 5322, 9757, 19514, 29271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58527 and 58542. The biggest common factor number is the GCF number.
So the greatest common factor 58527 and 58542 is 3.

Also check out the Least Common Multiple of 58527 and 58542