What is the Greatest Common Factor of 87216 and 87225?

Greatest common factor (GCF) of 87216 and 87225 is 3.

GCF(87216,87225) = 3

We will now calculate the prime factors of 87216 and 87225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87216 and 87225.

How to find the GCF of 87216 and 87225?

We will first find the prime factorization of 87216 and 87225. After we will calculate the factors of 87216 and 87225 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 87225

Prime factors of 87225 are 3, 5, 1163. Prime factorization of 87225 in exponential form is:

87225 = 3¹ × 5² × 1163¹

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 87225

List of positive integer factors of 87225 that divides 87216 without a remainder.

1, 3, 5, 15, 25, 75, 1163, 3489, 5815, 17445, 29075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87216 and 87225. The biggest common factor number is the GCF number.
So the greatest common factor 87216 and 87225 is 3.

Also check out the Least Common Multiple of 87216 and 87225