What is the Greatest Common Factor of 87120 and 87138?

Greatest common factor (GCF) of 87120 and 87138 is 18.

GCF(87120,87138) = 18

We will now calculate the prime factors of 87120 and 87138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87120 and 87138.

How to find the GCF of 87120 and 87138?

We will first find the prime factorization of 87120 and 87138. After we will calculate the factors of 87120 and 87138 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 87138

Prime factors of 87138 are 2, 3, 47, 103. Prime factorization of 87138 in exponential form is:

87138 = 2¹ × 3² × 47¹ × 103¹

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 87138

List of positive integer factors of 87138 that divides 87120 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 103, 141, 206, 282, 309, 423, 618, 846, 927, 1854, 4841, 9682, 14523, 29046, 43569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87120 and 87138. The biggest common factor number is the GCF number.
So the greatest common factor 87120 and 87138 is 18.

Also check out the Least Common Multiple of 87120 and 87138