What is the Greatest Common Factor of 87048 and 87066?

Greatest common factor (GCF) of 87048 and 87066 is 18.

GCF(87048,87066) = 18

We will now calculate the prime factors of 87048 and 87066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87048 and 87066.

How to find the GCF of 87048 and 87066?

We will first find the prime factorization of 87048 and 87066. After we will calculate the factors of 87048 and 87066 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 87066

Prime factors of 87066 are 2, 3, 7, 691. Prime factorization of 87066 in exponential form is:

87066 = 2¹ × 3² × 7¹ × 691¹

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 87066

List of positive integer factors of 87066 that divides 87048 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 691, 1382, 2073, 4146, 4837, 6219, 9674, 12438, 14511, 29022, 43533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87048 and 87066. The biggest common factor number is the GCF number.
So the greatest common factor 87048 and 87066 is 18.

Also check out the Least Common Multiple of 87048 and 87066