What is the Greatest Common Factor of 87960 and 87977?

Greatest common factor (GCF) of 87960 and 87977 is 1.

GCF(87960,87977) = 1

We will now calculate the prime factors of 87960 and 87977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87960 and 87977.

How to find the GCF of 87960 and 87977?

We will first find the prime factorization of 87960 and 87977. After we will calculate the factors of 87960 and 87977 and find the biggest common factor number .

Step-1: Prime Factorization of 87960

Prime factors of 87960 are 2, 3, 5, 733. Prime factorization of 87960 in exponential form is:

87960 = 2³ × 3¹ × 5¹ × 733¹

Step-2: Prime Factorization of 87977

Prime factors of 87977 are 87977. Prime factorization of 87977 in exponential form is:

87977 = 87977¹

Step-3: Factors of 87960

List of positive integer factors of 87960 that divides 87960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 733, 1466, 2199, 2932, 3665, 4398, 5864, 7330, 8796, 10995, 14660, 17592, 21990, 29320, 43980

Step-4: Factors of 87977

List of positive integer factors of 87977 that divides 87960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87960 and 87977. The biggest common factor number is the GCF number.
So the greatest common factor 87960 and 87977 is 1.

Also check out the Least Common Multiple of 87960 and 87977