What is the Greatest Common Factor of 58236 and 58251?

Greatest common factor (GCF) of 58236 and 58251 is 3.

GCF(58236,58251) = 3

We will now calculate the prime factors of 58236 and 58251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58236 and 58251.

How to find the GCF of 58236 and 58251?

We will first find the prime factorization of 58236 and 58251. After we will calculate the factors of 58236 and 58251 and find the biggest common factor number .

Step-1: Prime Factorization of 58236

Prime factors of 58236 are 2, 3, 23, 211. Prime factorization of 58236 in exponential form is:

58236 = 2² × 3¹ × 23¹ × 211¹

Step-2: Prime Factorization of 58251

Prime factors of 58251 are 3, 19417. Prime factorization of 58251 in exponential form is:

58251 = 3¹ × 19417¹

Step-3: Factors of 58236

List of positive integer factors of 58236 that divides 58236 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 211, 276, 422, 633, 844, 1266, 2532, 4853, 9706, 14559, 19412, 29118

Step-4: Factors of 58251

List of positive integer factors of 58251 that divides 58236 without a remainder.

1, 3, 19417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58236 and 58251. The biggest common factor number is the GCF number.
So the greatest common factor 58236 and 58251 is 3.

Also check out the Least Common Multiple of 58236 and 58251