What is the Greatest Common Factor of 59986 and 59997?

Greatest common factor (GCF) of 59986 and 59997 is 1.

GCF(59986,59997) = 1

We will now calculate the prime factors of 59986 and 59997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59986 and 59997.

How to find the GCF of 59986 and 59997?

We will first find the prime factorization of 59986 and 59997. After we will calculate the factors of 59986 and 59997 and find the biggest common factor number .

Step-1: Prime Factorization of 59986

Prime factors of 59986 are 2, 89, 337. Prime factorization of 59986 in exponential form is:

59986 = 2¹ × 89¹ × 337¹

Step-2: Prime Factorization of 59997

Prime factors of 59997 are 3, 7, 2857. Prime factorization of 59997 in exponential form is:

59997 = 3¹ × 7¹ × 2857¹

Step-3: Factors of 59986

List of positive integer factors of 59986 that divides 59986 without a remainder.

1, 2, 89, 178, 337, 674, 29993

Step-4: Factors of 59997

List of positive integer factors of 59997 that divides 59986 without a remainder.

1, 3, 7, 21, 2857, 8571, 19999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59986 and 59997. The biggest common factor number is the GCF number.
So the greatest common factor 59986 and 59997 is 1.

Also check out the Least Common Multiple of 59986 and 59997