What is the Greatest Common Factor of 59013 and 59033?

Greatest common factor (GCF) of 59013 and 59033 is 1.

GCF(59013,59033) = 1

We will now calculate the prime factors of 59013 and 59033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59013 and 59033.

How to find the GCF of 59013 and 59033?

We will first find the prime factorization of 59013 and 59033. After we will calculate the factors of 59013 and 59033 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 59033

Prime factors of 59033 are 13, 19, 239. Prime factorization of 59033 in exponential form is:

59033 = 13¹ × 19¹ × 239¹

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 59033

List of positive integer factors of 59033 that divides 59013 without a remainder.

1, 13, 19, 239, 247, 3107, 4541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59013 and 59033. The biggest common factor number is the GCF number.
So the greatest common factor 59013 and 59033 is 1.

Also check out the Least Common Multiple of 59013 and 59033