What is the Greatest Common Factor of 87114 and 87120?

Greatest common factor (GCF) of 87114 and 87120 is 6.

GCF(87114,87120) = 6

We will now calculate the prime factors of 87114 and 87120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87114 and 87120.

How to find the GCF of 87114 and 87120?

We will first find the prime factorization of 87114 and 87120. After we will calculate the factors of 87114 and 87120 and find the biggest common factor number .

Step-1: Prime Factorization of 87114

Prime factors of 87114 are 2, 3, 14519. Prime factorization of 87114 in exponential form is:

87114 = 2¹ × 3¹ × 14519¹

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 87114

List of positive integer factors of 87114 that divides 87114 without a remainder.

1, 2, 3, 6, 14519, 29038, 43557

Step-4: Factors of 87120

List of positive integer factors of 87120 that divides 87114 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 87114 and 87120. The biggest common factor number is the GCF number.
So the greatest common factor 87114 and 87120 is 6.

Also check out the Least Common Multiple of 87114 and 87120