What is the Greatest Common Factor of 58542 and 58562?

Greatest common factor (GCF) of 58542 and 58562 is 2.

GCF(58542,58562) = 2

We will now calculate the prime factors of 58542 and 58562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58542 and 58562.

How to find the GCF of 58542 and 58562?

We will first find the prime factorization of 58542 and 58562. After we will calculate the factors of 58542 and 58562 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58562

Prime factors of 58562 are 2, 7, 47, 89. Prime factorization of 58562 in exponential form is:

58562 = 2¹ × 7¹ × 47¹ × 89¹

Step-3: Factors of 58542

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

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

Step-4: Factors of 58562

List of positive integer factors of 58562 that divides 58542 without a remainder.

1, 2, 7, 14, 47, 89, 94, 178, 329, 623, 658, 1246, 4183, 8366, 29281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58542 and 58562. The biggest common factor number is the GCF number.
So the greatest common factor 58542 and 58562 is 2.

Also check out the Least Common Multiple of 58542 and 58562