What is the Greatest Common Factor of 60714 and 60727?

Greatest common factor (GCF) of 60714 and 60727 is 1.

GCF(60714,60727) = 1

We will now calculate the prime factors of 60714 and 60727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60714 and 60727.

How to find the GCF of 60714 and 60727?

We will first find the prime factorization of 60714 and 60727. After we will calculate the factors of 60714 and 60727 and find the biggest common factor number .

Step-1: Prime Factorization of 60714

Prime factors of 60714 are 2, 3, 3373. Prime factorization of 60714 in exponential form is:

60714 = 2¹ × 3² × 3373¹

Step-2: Prime Factorization of 60727

Prime factors of 60727 are 60727. Prime factorization of 60727 in exponential form is:

60727 = 60727¹

Step-3: Factors of 60714

List of positive integer factors of 60714 that divides 60714 without a remainder.

1, 2, 3, 6, 9, 18, 3373, 6746, 10119, 20238, 30357

Step-4: Factors of 60727

List of positive integer factors of 60727 that divides 60714 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60714 and 60727. The biggest common factor number is the GCF number.
So the greatest common factor 60714 and 60727 is 1.

Also check out the Least Common Multiple of 60714 and 60727