What is the Greatest Common Factor of 87120 and 87136?

Greatest common factor (GCF) of 87120 and 87136 is 16.

GCF(87120,87136) = 16

We will now calculate the prime factors of 87120 and 87136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87120 and 87136.

How to find the GCF of 87120 and 87136?

We will first find the prime factorization of 87120 and 87136. After we will calculate the factors of 87120 and 87136 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 87136

Prime factors of 87136 are 2, 7, 389. Prime factorization of 87136 in exponential form is:

87136 = 2⁵ × 7¹ × 389¹

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 87136

List of positive integer factors of 87136 that divides 87120 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 389, 778, 1556, 2723, 3112, 5446, 6224, 10892, 12448, 21784, 43568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87120 and 87136. The biggest common factor number is the GCF number.
So the greatest common factor 87120 and 87136 is 16.

Also check out the Least Common Multiple of 87120 and 87136