What is the Greatest Common Factor of 87216 and 87228?

Greatest common factor (GCF) of 87216 and 87228 is 12.

GCF(87216,87228) = 12

We will now calculate the prime factors of 87216 and 87228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87216 and 87228.

How to find the GCF of 87216 and 87228?

We will first find the prime factorization of 87216 and 87228. After we will calculate the factors of 87216 and 87228 and find the biggest common factor number .

Step-1: Prime Factorization of 87216

Prime factors of 87216 are 2, 3, 23, 79. Prime factorization of 87216 in exponential form is:

87216 = 2⁴ × 3¹ × 23¹ × 79¹

Step-2: Prime Factorization of 87228

Prime factors of 87228 are 2, 3, 2423. Prime factorization of 87228 in exponential form is:

87228 = 2² × 3² × 2423¹

Step-3: Factors of 87216

List of positive integer factors of 87216 that divides 87216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 79, 92, 138, 158, 184, 237, 276, 316, 368, 474, 552, 632, 948, 1104, 1264, 1817, 1896, 3634, 3792, 5451, 7268, 10902, 14536, 21804, 29072, 43608

Step-4: Factors of 87228

List of positive integer factors of 87228 that divides 87216 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2423, 4846, 7269, 9692, 14538, 21807, 29076, 43614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87216 and 87228. The biggest common factor number is the GCF number.
So the greatest common factor 87216 and 87228 is 12.

Also check out the Least Common Multiple of 87216 and 87228