What is the Greatest Common Factor of 59013 and 59027?

Greatest common factor (GCF) of 59013 and 59027 is 1.

GCF(59013,59027) = 1

We will now calculate the prime factors of 59013 and 59027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59013 and 59027.

How to find the GCF of 59013 and 59027?

We will first find the prime factorization of 59013 and 59027. After we will calculate the factors of 59013 and 59027 and find the biggest common factor number .

Step-1: Prime Factorization of 59013

Prime factors of 59013 are 3, 79, 83. Prime factorization of 59013 in exponential form is:

59013 = 3² × 79¹ × 83¹

Step-2: Prime Factorization of 59027

Prime factors of 59027 are 67, 881. Prime factorization of 59027 in exponential form is:

59027 = 67¹ × 881¹

Step-3: Factors of 59013

List of positive integer factors of 59013 that divides 59013 without a remainder.

1, 3, 9, 79, 83, 237, 249, 711, 747, 6557, 19671

Step-4: Factors of 59027

List of positive integer factors of 59027 that divides 59013 without a remainder.

1, 67, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59013 and 59027. The biggest common factor number is the GCF number.
So the greatest common factor 59013 and 59027 is 1.

Also check out the Least Common Multiple of 59013 and 59027