What is the Greatest Common Factor of 87960 and 87975?

Greatest common factor (GCF) of 87960 and 87975 is 15.

GCF(87960,87975) = 15

We will now calculate the prime factors of 87960 and 87975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87960 and 87975.

How to find the GCF of 87960 and 87975?

We will first find the prime factorization of 87960 and 87975. After we will calculate the factors of 87960 and 87975 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 87975

Prime factors of 87975 are 3, 5, 17, 23. Prime factorization of 87975 in exponential form is:

87975 = 3² × 5² × 17¹ × 23¹

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 87975

List of positive integer factors of 87975 that divides 87960 without a remainder.

1, 3, 5, 9, 15, 17, 23, 25, 45, 51, 69, 75, 85, 115, 153, 207, 225, 255, 345, 391, 425, 575, 765, 1035, 1173, 1275, 1725, 1955, 3519, 3825, 5175, 5865, 9775, 17595, 29325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87960 and 87975. The biggest common factor number is the GCF number.
So the greatest common factor 87960 and 87975 is 15.

Also check out the Least Common Multiple of 87960 and 87975