What is the Greatest Common Factor of 58465 and 58476?

Greatest common factor (GCF) of 58465 and 58476 is 11.

GCF(58465,58476) = 11

We will now calculate the prime factors of 58465 and 58476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58465 and 58476.

How to find the GCF of 58465 and 58476?

We will first find the prime factorization of 58465 and 58476. After we will calculate the factors of 58465 and 58476 and find the biggest common factor number .

Step-1: Prime Factorization of 58465

Prime factors of 58465 are 5, 11, 1063. Prime factorization of 58465 in exponential form is:

58465 = 5¹ × 11¹ × 1063¹

Step-2: Prime Factorization of 58476

Prime factors of 58476 are 2, 3, 11, 443. Prime factorization of 58476 in exponential form is:

58476 = 2² × 3¹ × 11¹ × 443¹

Step-3: Factors of 58465

List of positive integer factors of 58465 that divides 58465 without a remainder.

1, 5, 11, 55, 1063, 5315, 11693

Step-4: Factors of 58476

List of positive integer factors of 58476 that divides 58465 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 443, 886, 1329, 1772, 2658, 4873, 5316, 9746, 14619, 19492, 29238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58465 and 58476. The biggest common factor number is the GCF number.
So the greatest common factor 58465 and 58476 is 11.

Also check out the Least Common Multiple of 58465 and 58476