What is the Greatest Common Factor of 87120 and 87135?

Greatest common factor (GCF) of 87120 and 87135 is 15.

GCF(87120,87135) = 15

We will now calculate the prime factors of 87120 and 87135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87120 and 87135.

How to find the GCF of 87120 and 87135?

We will first find the prime factorization of 87120 and 87135. After we will calculate the factors of 87120 and 87135 and find the biggest common factor number .

Step-1: Prime Factorization of 87120

Prime factors of 87120 are 2, 3, 5, 11. Prime factorization of 87120 in exponential form is:

87120 = 2⁴ × 3² × 5¹ × 11²

Step-2: Prime Factorization of 87135

Prime factors of 87135 are 3, 5, 37, 157. Prime factorization of 87135 in exponential form is:

87135 = 3¹ × 5¹ × 37¹ × 157¹

Step-3: Factors of 87120

List of positive integer factors of 87120 that divides 87120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 121, 132, 144, 165, 176, 180, 198, 220, 240, 242, 264, 330, 360, 363, 396, 440, 484, 495, 528, 605, 660, 720, 726, 792, 880, 968, 990, 1089, 1210, 1320, 1452, 1584, 1815, 1936, 1980, 2178, 2420, 2640, 2904, 3630, 3960, 4356, 4840, 5445, 5808, 7260, 7920, 8712, 9680, 10890, 14520, 17424, 21780, 29040, 43560

Step-4: Factors of 87135

List of positive integer factors of 87135 that divides 87120 without a remainder.

1, 3, 5, 15, 37, 111, 157, 185, 471, 555, 785, 2355, 5809, 17427, 29045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87120 and 87135. The biggest common factor number is the GCF number.
So the greatest common factor 87120 and 87135 is 15.

Also check out the Least Common Multiple of 87120 and 87135