What is the Greatest Common Factor of 95640 and 95660?

Greatest common factor (GCF) of 95640 and 95660 is 20.

GCF(95640,95660) = 20

We will now calculate the prime factors of 95640 and 95660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95640 and 95660.

How to find the GCF of 95640 and 95660?

We will first find the prime factorization of 95640 and 95660. After we will calculate the factors of 95640 and 95660 and find the biggest common factor number .

Step-1: Prime Factorization of 95640

Prime factors of 95640 are 2, 3, 5, 797. Prime factorization of 95640 in exponential form is:

95640 = 2³ × 3¹ × 5¹ × 797¹

Step-2: Prime Factorization of 95660

Prime factors of 95660 are 2, 5, 4783. Prime factorization of 95660 in exponential form is:

95660 = 2² × 5¹ × 4783¹

Step-3: Factors of 95640

List of positive integer factors of 95640 that divides 95640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 797, 1594, 2391, 3188, 3985, 4782, 6376, 7970, 9564, 11955, 15940, 19128, 23910, 31880, 47820

Step-4: Factors of 95660

List of positive integer factors of 95660 that divides 95640 without a remainder.

1, 2, 4, 5, 10, 20, 4783, 9566, 19132, 23915, 47830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95640 and 95660. The biggest common factor number is the GCF number.
So the greatest common factor 95640 and 95660 is 20.

Also check out the Least Common Multiple of 95640 and 95660