What is the Greatest Common Factor of 58872 and 58892?

Greatest common factor (GCF) of 58872 and 58892 is 4.

GCF(58872,58892) = 4

We will now calculate the prime factors of 58872 and 58892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58872 and 58892.

How to find the GCF of 58872 and 58892?

We will first find the prime factorization of 58872 and 58892. After we will calculate the factors of 58872 and 58892 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 58892

Prime factors of 58892 are 2, 14723. Prime factorization of 58892 in exponential form is:

58892 = 2² × 14723¹

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 58892

List of positive integer factors of 58892 that divides 58872 without a remainder.

1, 2, 4, 14723, 29446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58872 and 58892. The biggest common factor number is the GCF number.
So the greatest common factor 58872 and 58892 is 4.

Also check out the Least Common Multiple of 58872 and 58892