What is the Greatest Common Factor of 59986 and 60005?

Greatest common factor (GCF) of 59986 and 60005 is 1.

GCF(59986,60005) = 1

We will now calculate the prime factors of 59986 and 60005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59986 and 60005.

How to find the GCF of 59986 and 60005?

We will first find the prime factorization of 59986 and 60005. After we will calculate the factors of 59986 and 60005 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 60005

Prime factors of 60005 are 5, 11, 1091. Prime factorization of 60005 in exponential form is:

60005 = 5¹ × 11¹ × 1091¹

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 60005

List of positive integer factors of 60005 that divides 59986 without a remainder.

1, 5, 11, 55, 1091, 5455, 12001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59986 and 60005. The biggest common factor number is the GCF number.
So the greatest common factor 59986 and 60005 is 1.

Also check out the Least Common Multiple of 59986 and 60005