What is the Greatest Common Factor of 58514 and 58524?

Greatest common factor (GCF) of 58514 and 58524 is 2.

GCF(58514,58524) = 2

We will now calculate the prime factors of 58514 and 58524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58514 and 58524.

How to find the GCF of 58514 and 58524?

We will first find the prime factorization of 58514 and 58524. After we will calculate the factors of 58514 and 58524 and find the biggest common factor number .

Step-1: Prime Factorization of 58514

Prime factors of 58514 are 2, 17, 1721. Prime factorization of 58514 in exponential form is:

58514 = 2¹ × 17¹ × 1721¹

Step-2: Prime Factorization of 58524

Prime factors of 58524 are 2, 3, 4877. Prime factorization of 58524 in exponential form is:

58524 = 2² × 3¹ × 4877¹

Step-3: Factors of 58514

List of positive integer factors of 58514 that divides 58514 without a remainder.

1, 2, 17, 34, 1721, 3442, 29257

Step-4: Factors of 58524

List of positive integer factors of 58524 that divides 58514 without a remainder.

1, 2, 3, 4, 6, 12, 4877, 9754, 14631, 19508, 29262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58514 and 58524. The biggest common factor number is the GCF number.
So the greatest common factor 58514 and 58524 is 2.

Also check out the Least Common Multiple of 58514 and 58524