What is the Greatest Common Factor of 60016 and 60031?

Greatest common factor (GCF) of 60016 and 60031 is 1.

GCF(60016,60031) = 1

We will now calculate the prime factors of 60016 and 60031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60016 and 60031.

How to find the GCF of 60016 and 60031?

We will first find the prime factorization of 60016 and 60031. After we will calculate the factors of 60016 and 60031 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60031

Prime factors of 60031 are 173, 347. Prime factorization of 60031 in exponential form is:

60031 = 173¹ × 347¹

Step-3: Factors of 60016

List of positive integer factors of 60016 that divides 60016 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

Step-4: Factors of 60031

List of positive integer factors of 60031 that divides 60016 without a remainder.

1, 173, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60016 and 60031. The biggest common factor number is the GCF number.
So the greatest common factor 60016 and 60031 is 1.

Also check out the Least Common Multiple of 60016 and 60031