What is the Greatest Common Factor of 87120 and 87137?

Greatest common factor (GCF) of 87120 and 87137 is 1.

GCF(87120,87137) = 1

We will now calculate the prime factors of 87120 and 87137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87120 and 87137.

How to find the GCF of 87120 and 87137?

We will first find the prime factorization of 87120 and 87137. After we will calculate the factors of 87120 and 87137 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 87137

Prime factors of 87137 are 79, 1103. Prime factorization of 87137 in exponential form is:

87137 = 79¹ × 1103¹

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 87137

List of positive integer factors of 87137 that divides 87120 without a remainder.

1, 79, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87120 and 87137. The biggest common factor number is the GCF number.
So the greatest common factor 87120 and 87137 is 1.

Also check out the Least Common Multiple of 87120 and 87137