What is the Greatest Common Factor of 87048 and 87054?

Greatest common factor (GCF) of 87048 and 87054 is 6.

GCF(87048,87054) = 6

We will now calculate the prime factors of 87048 and 87054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87048 and 87054.

How to find the GCF of 87048 and 87054?

We will first find the prime factorization of 87048 and 87054. After we will calculate the factors of 87048 and 87054 and find the biggest common factor number .

Step-1: Prime Factorization of 87048

Prime factors of 87048 are 2, 3, 13, 31. Prime factorization of 87048 in exponential form is:

87048 = 2³ × 3³ × 13¹ × 31¹

Step-2: Prime Factorization of 87054

Prime factors of 87054 are 2, 3, 11, 1319. Prime factorization of 87054 in exponential form is:

87054 = 2¹ × 3¹ × 11¹ × 1319¹

Step-3: Factors of 87048

List of positive integer factors of 87048 that divides 87048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 31, 36, 39, 52, 54, 62, 72, 78, 93, 104, 108, 117, 124, 156, 186, 216, 234, 248, 279, 312, 351, 372, 403, 468, 558, 702, 744, 806, 837, 936, 1116, 1209, 1404, 1612, 1674, 2232, 2418, 2808, 3224, 3348, 3627, 4836, 6696, 7254, 9672, 10881, 14508, 21762, 29016, 43524

Step-4: Factors of 87054

List of positive integer factors of 87054 that divides 87048 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1319, 2638, 3957, 7914, 14509, 29018, 43527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87048 and 87054. The biggest common factor number is the GCF number.
So the greatest common factor 87048 and 87054 is 6.

Also check out the Least Common Multiple of 87048 and 87054