What is the Greatest Common Factor of 60001 and 60016?

Greatest common factor (GCF) of 60001 and 60016 is 1.

GCF(60001,60016) = 1

We will now calculate the prime factors of 60001 and 60016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60001 and 60016.

How to find the GCF of 60001 and 60016?

We will first find the prime factorization of 60001 and 60016. After we will calculate the factors of 60001 and 60016 and find the biggest common factor number .

Step-1: Prime Factorization of 60001

Prime factors of 60001 are 29, 2069. Prime factorization of 60001 in exponential form is:

60001 = 29¹ × 2069¹

Step-2: Prime Factorization of 60016

Prime factors of 60016 are 2, 11, 31. Prime factorization of 60016 in exponential form is:

60016 = 2⁴ × 11² × 31¹

Step-3: Factors of 60001

List of positive integer factors of 60001 that divides 60001 without a remainder.

1, 29, 2069

Step-4: Factors of 60016

List of positive integer factors of 60016 that divides 60001 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 121, 124, 176, 242, 248, 341, 484, 496, 682, 968, 1364, 1936, 2728, 3751, 5456, 7502, 15004, 30008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60001 and 60016. The biggest common factor number is the GCF number.
So the greatest common factor 60001 and 60016 is 1.

Also check out the Least Common Multiple of 60001 and 60016