What is the Greatest Common Factor of 58261 and 58274?

Greatest common factor (GCF) of 58261 and 58274 is 1.

GCF(58261,58274) = 1

We will now calculate the prime factors of 58261 and 58274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58261 and 58274.

How to find the GCF of 58261 and 58274?

We will first find the prime factorization of 58261 and 58274. After we will calculate the factors of 58261 and 58274 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 58274

Prime factors of 58274 are 2, 29137. Prime factorization of 58274 in exponential form is:

58274 = 2¹ × 29137¹

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 58274

List of positive integer factors of 58274 that divides 58261 without a remainder.

1, 2, 29137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58261 and 58274. The biggest common factor number is the GCF number.
So the greatest common factor 58261 and 58274 is 1.

Also check out the Least Common Multiple of 58261 and 58274