What is the Greatest Common Factor of 87105 and 87120?

Greatest common factor (GCF) of 87105 and 87120 is 15.

GCF(87105,87120) = 15

We will now calculate the prime factors of 87105 and 87120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87105 and 87120.

How to find the GCF of 87105 and 87120?

We will first find the prime factorization of 87105 and 87120. After we will calculate the factors of 87105 and 87120 and find the biggest common factor number .

Step-1: Prime Factorization of 87105

Prime factors of 87105 are 3, 5, 5807. Prime factorization of 87105 in exponential form is:

87105 = 3¹ × 5¹ × 5807¹

Step-2: 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-3: Factors of 87105

List of positive integer factors of 87105 that divides 87105 without a remainder.

1, 3, 5, 15, 5807, 17421, 29035

Step-4: Factors of 87120

List of positive integer factors of 87120 that divides 87105 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87105 and 87120. The biggest common factor number is the GCF number.
So the greatest common factor 87105 and 87120 is 15.

Also check out the Least Common Multiple of 87105 and 87120