What is the Greatest Common Factor of 58512 and 58530?

Greatest common factor (GCF) of 58512 and 58530 is 6.

GCF(58512,58530) = 6

We will now calculate the prime factors of 58512 and 58530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58512 and 58530.

How to find the GCF of 58512 and 58530?

We will first find the prime factorization of 58512 and 58530. After we will calculate the factors of 58512 and 58530 and find the biggest common factor number .

Step-1: Prime Factorization of 58512

Prime factors of 58512 are 2, 3, 23, 53. Prime factorization of 58512 in exponential form is:

58512 = 2⁴ × 3¹ × 23¹ × 53¹

Step-2: Prime Factorization of 58530

Prime factors of 58530 are 2, 3, 5, 1951. Prime factorization of 58530 in exponential form is:

58530 = 2¹ × 3¹ × 5¹ × 1951¹

Step-3: Factors of 58512

List of positive integer factors of 58512 that divides 58512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 53, 69, 92, 106, 138, 159, 184, 212, 276, 318, 368, 424, 552, 636, 848, 1104, 1219, 1272, 2438, 2544, 3657, 4876, 7314, 9752, 14628, 19504, 29256

Step-4: Factors of 58530

List of positive integer factors of 58530 that divides 58512 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1951, 3902, 5853, 9755, 11706, 19510, 29265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58512 and 58530. The biggest common factor number is the GCF number.
So the greatest common factor 58512 and 58530 is 6.

Also check out the Least Common Multiple of 58512 and 58530