What is the Greatest Common Factor of 58440 and 58456?

Greatest common factor (GCF) of 58440 and 58456 is 8.

GCF(58440,58456) = 8

We will now calculate the prime factors of 58440 and 58456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58440 and 58456.

How to find the GCF of 58440 and 58456?

We will first find the prime factorization of 58440 and 58456. After we will calculate the factors of 58440 and 58456 and find the biggest common factor number .

Step-1: Prime Factorization of 58440

Prime factors of 58440 are 2, 3, 5, 487. Prime factorization of 58440 in exponential form is:

58440 = 2³ × 3¹ × 5¹ × 487¹

Step-2: Prime Factorization of 58456

Prime factors of 58456 are 2, 7307. Prime factorization of 58456 in exponential form is:

58456 = 2³ × 7307¹

Step-3: Factors of 58440

List of positive integer factors of 58440 that divides 58440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 487, 974, 1461, 1948, 2435, 2922, 3896, 4870, 5844, 7305, 9740, 11688, 14610, 19480, 29220

Step-4: Factors of 58456

List of positive integer factors of 58456 that divides 58440 without a remainder.

1, 2, 4, 8, 7307, 14614, 29228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58440 and 58456. The biggest common factor number is the GCF number.
So the greatest common factor 58440 and 58456 is 8.

Also check out the Least Common Multiple of 58440 and 58456