What is the Greatest Common Factor of 87120 and 87132?

Greatest common factor (GCF) of 87120 and 87132 is 12.

GCF(87120,87132) = 12

We will now calculate the prime factors of 87120 and 87132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87120 and 87132.

How to find the GCF of 87120 and 87132?

We will first find the prime factorization of 87120 and 87132. After we will calculate the factors of 87120 and 87132 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 87132

Prime factors of 87132 are 2, 3, 53, 137. Prime factorization of 87132 in exponential form is:

87132 = 2² × 3¹ × 53¹ × 137¹

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 87132

List of positive integer factors of 87132 that divides 87120 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 137, 159, 212, 274, 318, 411, 548, 636, 822, 1644, 7261, 14522, 21783, 29044, 43566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87120 and 87132. The biggest common factor number is the GCF number.
So the greatest common factor 87120 and 87132 is 12.

Also check out the Least Common Multiple of 87120 and 87132