What is the Greatest Common Factor of 58825 and 58845?

Greatest common factor (GCF) of 58825 and 58845 is 5.

GCF(58825,58845) = 5

We will now calculate the prime factors of 58825 and 58845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58825 and 58845.

How to find the GCF of 58825 and 58845?

We will first find the prime factorization of 58825 and 58845. After we will calculate the factors of 58825 and 58845 and find the biggest common factor number .

Step-1: Prime Factorization of 58825

Prime factors of 58825 are 5, 13, 181. Prime factorization of 58825 in exponential form is:

58825 = 5² × 13¹ × 181¹

Step-2: Prime Factorization of 58845

Prime factors of 58845 are 3, 5, 3923. Prime factorization of 58845 in exponential form is:

58845 = 3¹ × 5¹ × 3923¹

Step-3: Factors of 58825

List of positive integer factors of 58825 that divides 58825 without a remainder.

1, 5, 13, 25, 65, 181, 325, 905, 2353, 4525, 11765

Step-4: Factors of 58845

List of positive integer factors of 58845 that divides 58825 without a remainder.

1, 3, 5, 15, 3923, 11769, 19615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58825 and 58845. The biggest common factor number is the GCF number.
So the greatest common factor 58825 and 58845 is 5.

Also check out the Least Common Multiple of 58825 and 58845