What is the Greatest Common Factor of 87048 and 87063?

Greatest common factor (GCF) of 87048 and 87063 is 3.

GCF(87048,87063) = 3

We will now calculate the prime factors of 87048 and 87063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87048 and 87063.

How to find the GCF of 87048 and 87063?

We will first find the prime factorization of 87048 and 87063. After we will calculate the factors of 87048 and 87063 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 87063

Prime factors of 87063 are 3, 29021. Prime factorization of 87063 in exponential form is:

87063 = 3¹ × 29021¹

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 87063

List of positive integer factors of 87063 that divides 87048 without a remainder.

1, 3, 29021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87048 and 87063. The biggest common factor number is the GCF number.
So the greatest common factor 87048 and 87063 is 3.

Also check out the Least Common Multiple of 87048 and 87063