What is the Greatest Common Factor of 58820 and 58825?

Greatest common factor (GCF) of 58820 and 58825 is 5.

GCF(58820,58825) = 5

We will now calculate the prime factors of 58820 and 58825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58820 and 58825.

How to find the GCF of 58820 and 58825?

We will first find the prime factorization of 58820 and 58825. After we will calculate the factors of 58820 and 58825 and find the biggest common factor number .

Step-1: Prime Factorization of 58820

Prime factors of 58820 are 2, 5, 17, 173. Prime factorization of 58820 in exponential form is:

58820 = 2² × 5¹ × 17¹ × 173¹

Step-2: 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-3: Factors of 58820

List of positive integer factors of 58820 that divides 58820 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 173, 340, 346, 692, 865, 1730, 2941, 3460, 5882, 11764, 14705, 29410

Step-4: Factors of 58825

List of positive integer factors of 58825 that divides 58820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58820 and 58825. The biggest common factor number is the GCF number.
So the greatest common factor 58820 and 58825 is 5.

Also check out the Least Common Multiple of 58820 and 58825