What is the Greatest Common Factor of 58864 and 58872?

Greatest common factor (GCF) of 58864 and 58872 is 8.

GCF(58864,58872) = 8

We will now calculate the prime factors of 58864 and 58872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58864 and 58872.

How to find the GCF of 58864 and 58872?

We will first find the prime factorization of 58864 and 58872. After we will calculate the factors of 58864 and 58872 and find the biggest common factor number .

Step-1: Prime Factorization of 58864

Prime factors of 58864 are 2, 13, 283. Prime factorization of 58864 in exponential form is:

58864 = 2⁴ × 13¹ × 283¹

Step-2: 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-3: Factors of 58864

List of positive integer factors of 58864 that divides 58864 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 283, 566, 1132, 2264, 3679, 4528, 7358, 14716, 29432

Step-4: Factors of 58872

List of positive integer factors of 58872 that divides 58864 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58864 and 58872. The biggest common factor number is the GCF number.
So the greatest common factor 58864 and 58872 is 8.

Also check out the Least Common Multiple of 58864 and 58872