What is the Greatest Common Factor of 58509 and 58528?

Greatest common factor (GCF) of 58509 and 58528 is 1.

GCF(58509,58528) = 1

We will now calculate the prime factors of 58509 and 58528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58509 and 58528.

How to find the GCF of 58509 and 58528?

We will first find the prime factorization of 58509 and 58528. After we will calculate the factors of 58509 and 58528 and find the biggest common factor number .

Step-1: Prime Factorization of 58509

Prime factors of 58509 are 3, 11, 197. Prime factorization of 58509 in exponential form is:

58509 = 3³ × 11¹ × 197¹

Step-2: Prime Factorization of 58528

Prime factors of 58528 are 2, 31, 59. Prime factorization of 58528 in exponential form is:

58528 = 2⁵ × 31¹ × 59¹

Step-3: Factors of 58509

List of positive integer factors of 58509 that divides 58509 without a remainder.

1, 3, 9, 11, 27, 33, 99, 197, 297, 591, 1773, 2167, 5319, 6501, 19503

Step-4: Factors of 58528

List of positive integer factors of 58528 that divides 58509 without a remainder.

1, 2, 4, 8, 16, 31, 32, 59, 62, 118, 124, 236, 248, 472, 496, 944, 992, 1829, 1888, 3658, 7316, 14632, 29264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58509 and 58528. The biggest common factor number is the GCF number.
So the greatest common factor 58509 and 58528 is 1.

Also check out the Least Common Multiple of 58509 and 58528