What is the Greatest Common Factor of 58250 and 58265?

Greatest common factor (GCF) of 58250 and 58265 is 5.

GCF(58250,58265) = 5

We will now calculate the prime factors of 58250 and 58265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58250 and 58265.

How to find the GCF of 58250 and 58265?

We will first find the prime factorization of 58250 and 58265. After we will calculate the factors of 58250 and 58265 and find the biggest common factor number .

Step-1: Prime Factorization of 58250

Prime factors of 58250 are 2, 5, 233. Prime factorization of 58250 in exponential form is:

58250 = 2¹ × 5³ × 233¹

Step-2: Prime Factorization of 58265

Prime factors of 58265 are 5, 43, 271. Prime factorization of 58265 in exponential form is:

58265 = 5¹ × 43¹ × 271¹

Step-3: Factors of 58250

List of positive integer factors of 58250 that divides 58250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 233, 250, 466, 1165, 2330, 5825, 11650, 29125

Step-4: Factors of 58265

List of positive integer factors of 58265 that divides 58250 without a remainder.

1, 5, 43, 215, 271, 1355, 11653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58250 and 58265. The biggest common factor number is the GCF number.
So the greatest common factor 58250 and 58265 is 5.

Also check out the Least Common Multiple of 58250 and 58265