What is the Greatest Common Factor of 87945 and 87960?

Greatest common factor (GCF) of 87945 and 87960 is 15.

GCF(87945,87960) = 15

We will now calculate the prime factors of 87945 and 87960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87945 and 87960.

How to find the GCF of 87945 and 87960?

We will first find the prime factorization of 87945 and 87960. After we will calculate the factors of 87945 and 87960 and find the biggest common factor number .

Step-1: Prime Factorization of 87945

Prime factors of 87945 are 3, 5, 11, 13, 41. Prime factorization of 87945 in exponential form is:

87945 = 3¹ × 5¹ × 11¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 87945

List of positive integer factors of 87945 that divides 87945 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 41, 55, 65, 123, 143, 165, 195, 205, 429, 451, 533, 615, 715, 1353, 1599, 2145, 2255, 2665, 5863, 6765, 7995, 17589, 29315

Step-4: Factors of 87960

List of positive integer factors of 87960 that divides 87945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87945 and 87960. The biggest common factor number is the GCF number.
So the greatest common factor 87945 and 87960 is 15.

Also check out the Least Common Multiple of 87945 and 87960