What is the Greatest Common Factor of 58564 and 58583?

Greatest common factor (GCF) of 58564 and 58583 is 1.

GCF(58564,58583) = 1

We will now calculate the prime factors of 58564 and 58583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58564 and 58583.

How to find the GCF of 58564 and 58583?

We will first find the prime factorization of 58564 and 58583. After we will calculate the factors of 58564 and 58583 and find the biggest common factor number .

Step-1: Prime Factorization of 58564

Prime factors of 58564 are 2, 11. Prime factorization of 58564 in exponential form is:

58564 = 2² × 11⁴

Step-2: Prime Factorization of 58583

Prime factors of 58583 are 7, 8369. Prime factorization of 58583 in exponential form is:

58583 = 7¹ × 8369¹

Step-3: Factors of 58564

List of positive integer factors of 58564 that divides 58564 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324, 14641, 29282

Step-4: Factors of 58583

List of positive integer factors of 58583 that divides 58564 without a remainder.

1, 7, 8369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58564 and 58583. The biggest common factor number is the GCF number.
So the greatest common factor 58564 and 58583 is 1.

Also check out the Least Common Multiple of 58564 and 58583