What is the Greatest Common Factor of 58851 and 58864?

Greatest common factor (GCF) of 58851 and 58864 is 13.

GCF(58851,58864) = 13

We will now calculate the prime factors of 58851 and 58864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58851 and 58864.

How to find the GCF of 58851 and 58864?

We will first find the prime factorization of 58851 and 58864. After we will calculate the factors of 58851 and 58864 and find the biggest common factor number .

Step-1: Prime Factorization of 58851

Prime factors of 58851 are 3, 13, 503. Prime factorization of 58851 in exponential form is:

58851 = 3² × 13¹ × 503¹

Step-2: 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-3: Factors of 58851

List of positive integer factors of 58851 that divides 58851 without a remainder.

1, 3, 9, 13, 39, 117, 503, 1509, 4527, 6539, 19617

Step-4: Factors of 58864

List of positive integer factors of 58864 that divides 58851 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58851 and 58864. The biggest common factor number is the GCF number.
So the greatest common factor 58851 and 58864 is 13.

Also check out the Least Common Multiple of 58851 and 58864