What is the Greatest Common Factor of 58872 and 58876?

Greatest common factor (GCF) of 58872 and 58876 is 4.

GCF(58872,58876) = 4

We will now calculate the prime factors of 58872 and 58876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58872 and 58876.

How to find the GCF of 58872 and 58876?

We will first find the prime factorization of 58872 and 58876. After we will calculate the factors of 58872 and 58876 and find the biggest common factor number .

Step-1: Prime Factorization of 58872

Prime factors of 58872 are 2, 3, 11, 223. Prime factorization of 58872 in exponential form is:

58872 = 2³ × 3¹ × 11¹ × 223¹

Step-2: Prime Factorization of 58876

Prime factors of 58876 are 2, 41, 359. Prime factorization of 58876 in exponential form is:

58876 = 2² × 41¹ × 359¹

Step-3: Factors of 58872

List of positive integer factors of 58872 that divides 58872 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 223, 264, 446, 669, 892, 1338, 1784, 2453, 2676, 4906, 5352, 7359, 9812, 14718, 19624, 29436

Step-4: Factors of 58876

List of positive integer factors of 58876 that divides 58872 without a remainder.

1, 2, 4, 41, 82, 164, 359, 718, 1436, 14719, 29438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58872 and 58876. The biggest common factor number is the GCF number.
So the greatest common factor 58872 and 58876 is 4.

Also check out the Least Common Multiple of 58872 and 58876