What is the Greatest Common Factor of 58261 and 58268?

Greatest common factor (GCF) of 58261 and 58268 is 7.

GCF(58261,58268) = 7

We will now calculate the prime factors of 58261 and 58268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58261 and 58268.

How to find the GCF of 58261 and 58268?

We will first find the prime factorization of 58261 and 58268. After we will calculate the factors of 58261 and 58268 and find the biggest common factor number .

Step-1: Prime Factorization of 58261

Prime factors of 58261 are 7, 29, 41. Prime factorization of 58261 in exponential form is:

58261 = 7² × 29¹ × 41¹

Step-2: Prime Factorization of 58268

Prime factors of 58268 are 2, 7, 2081. Prime factorization of 58268 in exponential form is:

58268 = 2² × 7¹ × 2081¹

Step-3: Factors of 58261

List of positive integer factors of 58261 that divides 58261 without a remainder.

1, 7, 29, 41, 49, 203, 287, 1189, 1421, 2009, 8323

Step-4: Factors of 58268

List of positive integer factors of 58268 that divides 58261 without a remainder.

1, 2, 4, 7, 14, 28, 2081, 4162, 8324, 14567, 29134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58261 and 58268. The biggest common factor number is the GCF number.
So the greatest common factor 58261 and 58268 is 7.

Also check out the Least Common Multiple of 58261 and 58268