What is the Greatest Common Factor of 58440 and 58452?

Greatest common factor (GCF) of 58440 and 58452 is 12.

GCF(58440,58452) = 12

We will now calculate the prime factors of 58440 and 58452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58440 and 58452.

How to find the GCF of 58440 and 58452?

We will first find the prime factorization of 58440 and 58452. After we will calculate the factors of 58440 and 58452 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 58452

Prime factors of 58452 are 2, 3, 4871. Prime factorization of 58452 in exponential form is:

58452 = 2² × 3¹ × 4871¹

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 58452

List of positive integer factors of 58452 that divides 58440 without a remainder.

1, 2, 3, 4, 6, 12, 4871, 9742, 14613, 19484, 29226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58440 and 58452. The biggest common factor number is the GCF number.
So the greatest common factor 58440 and 58452 is 12.

Also check out the Least Common Multiple of 58440 and 58452