What is the Greatest Common Factor of 60696 and 60700?

Greatest common factor (GCF) of 60696 and 60700 is 4.

GCF(60696,60700) = 4

We will now calculate the prime factors of 60696 and 60700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60696 and 60700.

How to find the GCF of 60696 and 60700?

We will first find the prime factorization of 60696 and 60700. After we will calculate the factors of 60696 and 60700 and find the biggest common factor number .

Step-1: Prime Factorization of 60696

Prime factors of 60696 are 2, 3, 281. Prime factorization of 60696 in exponential form is:

60696 = 2³ × 3³ × 281¹

Step-2: 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-3: Factors of 60696

List of positive integer factors of 60696 that divides 60696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 281, 562, 843, 1124, 1686, 2248, 2529, 3372, 5058, 6744, 7587, 10116, 15174, 20232, 30348

Step-4: Factors of 60700

List of positive integer factors of 60700 that divides 60696 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60696 and 60700. The biggest common factor number is the GCF number.
So the greatest common factor 60696 and 60700 is 4.

Also check out the Least Common Multiple of 60696 and 60700