What is the Greatest Common Factor of 60700 and 60718?

Greatest common factor (GCF) of 60700 and 60718 is 2.

GCF(60700,60718) = 2

We will now calculate the prime factors of 60700 and 60718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60700 and 60718.

How to find the GCF of 60700 and 60718?

We will first find the prime factorization of 60700 and 60718. After we will calculate the factors of 60700 and 60718 and find the biggest common factor number .

Step-1: Prime Factorization of 60700

Prime factors of 60700 are 2, 5, 607. Prime factorization of 60700 in exponential form is:

60700 = 2² × 5² × 607¹

Step-2: Prime Factorization of 60718

Prime factors of 60718 are 2, 7, 4337. Prime factorization of 60718 in exponential form is:

60718 = 2¹ × 7¹ × 4337¹

Step-3: Factors of 60700

List of positive integer factors of 60700 that divides 60700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 607, 1214, 2428, 3035, 6070, 12140, 15175, 30350

Step-4: Factors of 60718

List of positive integer factors of 60718 that divides 60700 without a remainder.

1, 2, 7, 14, 4337, 8674, 30359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60700 and 60718. The biggest common factor number is the GCF number.
So the greatest common factor 60700 and 60718 is 2.

Also check out the Least Common Multiple of 60700 and 60718