What is the Greatest Common Factor of 58534 and 58541?

Greatest common factor (GCF) of 58534 and 58541 is 7.

GCF(58534,58541) = 7

We will now calculate the prime factors of 58534 and 58541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58534 and 58541.

How to find the GCF of 58534 and 58541?

We will first find the prime factorization of 58534 and 58541. After we will calculate the factors of 58534 and 58541 and find the biggest common factor number .

Step-1: Prime Factorization of 58534

Prime factors of 58534 are 2, 7, 37, 113. Prime factorization of 58534 in exponential form is:

58534 = 2¹ × 7¹ × 37¹ × 113¹

Step-2: Prime Factorization of 58541

Prime factors of 58541 are 7, 8363. Prime factorization of 58541 in exponential form is:

58541 = 7¹ × 8363¹

Step-3: Factors of 58534

List of positive integer factors of 58534 that divides 58534 without a remainder.

1, 2, 7, 14, 37, 74, 113, 226, 259, 518, 791, 1582, 4181, 8362, 29267

Step-4: Factors of 58541

List of positive integer factors of 58541 that divides 58534 without a remainder.

1, 7, 8363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58534 and 58541. The biggest common factor number is the GCF number.
So the greatest common factor 58534 and 58541 is 7.

Also check out the Least Common Multiple of 58534 and 58541