What is the Greatest Common Factor of 58997 and 59014?

Greatest common factor (GCF) of 58997 and 59014 is 1.

GCF(58997,59014) = 1

We will now calculate the prime factors of 58997 and 59014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58997 and 59014.

How to find the GCF of 58997 and 59014?

We will first find the prime factorization of 58997 and 59014. After we will calculate the factors of 58997 and 59014 and find the biggest common factor number .

Step-1: Prime Factorization of 58997

Prime factors of 58997 are 58997. Prime factorization of 58997 in exponential form is:

58997 = 58997¹

Step-2: Prime Factorization of 59014

Prime factors of 59014 are 2, 19, 1553. Prime factorization of 59014 in exponential form is:

59014 = 2¹ × 19¹ × 1553¹

Step-3: Factors of 58997

List of positive integer factors of 58997 that divides 58997 without a remainder.

Step-4: Factors of 59014

List of positive integer factors of 59014 that divides 58997 without a remainder.

1, 2, 19, 38, 1553, 3106, 29507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58997 and 59014. The biggest common factor number is the GCF number.
So the greatest common factor 58997 and 59014 is 1.

Also check out the Least Common Multiple of 58997 and 59014