What is the Greatest Common Factor of 58084 and 58097?

Greatest common factor (GCF) of 58084 and 58097 is 13.

GCF(58084,58097) = 13

We will now calculate the prime factors of 58084 and 58097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58084 and 58097.

How to find the GCF of 58084 and 58097?

We will first find the prime factorization of 58084 and 58097. After we will calculate the factors of 58084 and 58097 and find the biggest common factor number .

Step-1: Prime Factorization of 58084

Prime factors of 58084 are 2, 13, 1117. Prime factorization of 58084 in exponential form is:

58084 = 2² × 13¹ × 1117¹

Step-2: Prime Factorization of 58097

Prime factors of 58097 are 13, 41, 109. Prime factorization of 58097 in exponential form is:

58097 = 13¹ × 41¹ × 109¹

Step-3: Factors of 58084

List of positive integer factors of 58084 that divides 58084 without a remainder.

1, 2, 4, 13, 26, 52, 1117, 2234, 4468, 14521, 29042

Step-4: Factors of 58097

List of positive integer factors of 58097 that divides 58084 without a remainder.

1, 13, 41, 109, 533, 1417, 4469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58084 and 58097. The biggest common factor number is the GCF number.
So the greatest common factor 58084 and 58097 is 13.

Also check out the Least Common Multiple of 58084 and 58097