What is the Greatest Common Factor of 87748 and 87760?

Greatest common factor (GCF) of 87748 and 87760 is 4.

GCF(87748,87760) = 4

We will now calculate the prime factors of 87748 and 87760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87748 and 87760.

How to find the GCF of 87748 and 87760?

We will first find the prime factorization of 87748 and 87760. After we will calculate the factors of 87748 and 87760 and find the biggest common factor number .

Step-1: Prime Factorization of 87748

Prime factors of 87748 are 2, 21937. Prime factorization of 87748 in exponential form is:

87748 = 2² × 21937¹

Step-2: Prime Factorization of 87760

Prime factors of 87760 are 2, 5, 1097. Prime factorization of 87760 in exponential form is:

87760 = 2⁴ × 5¹ × 1097¹

Step-3: Factors of 87748

List of positive integer factors of 87748 that divides 87748 without a remainder.

1, 2, 4, 21937, 43874

Step-4: Factors of 87760

List of positive integer factors of 87760 that divides 87748 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1097, 2194, 4388, 5485, 8776, 10970, 17552, 21940, 43880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87748 and 87760. The biggest common factor number is the GCF number.
So the greatest common factor 87748 and 87760 is 4.

Also check out the Least Common Multiple of 87748 and 87760