What is the Greatest Common Factor of 58845 and 58864?

Greatest common factor (GCF) of 58845 and 58864 is 1.

GCF(58845,58864) = 1

We will now calculate the prime factors of 58845 and 58864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58845 and 58864.

How to find the GCF of 58845 and 58864?

We will first find the prime factorization of 58845 and 58864. After we will calculate the factors of 58845 and 58864 and find the biggest common factor number .

Step-1: Prime Factorization of 58845

Prime factors of 58845 are 3, 5, 3923. Prime factorization of 58845 in exponential form is:

58845 = 3¹ × 5¹ × 3923¹

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 58845

List of positive integer factors of 58845 that divides 58845 without a remainder.

1, 3, 5, 15, 3923, 11769, 19615

Step-4: Factors of 58864

List of positive integer factors of 58864 that divides 58845 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 58845 and 58864. The biggest common factor number is the GCF number.
So the greatest common factor 58845 and 58864 is 1.

Also check out the Least Common Multiple of 58845 and 58864