What is the Greatest Common Factor of 87216 and 87232?

Greatest common factor (GCF) of 87216 and 87232 is 16.

GCF(87216,87232) = 16

We will now calculate the prime factors of 87216 and 87232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87216 and 87232.

How to find the GCF of 87216 and 87232?

We will first find the prime factorization of 87216 and 87232. After we will calculate the factors of 87216 and 87232 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 87232

Prime factors of 87232 are 2, 29, 47. Prime factorization of 87232 in exponential form is:

87232 = 2⁶ × 29¹ × 47¹

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 87232

List of positive integer factors of 87232 that divides 87216 without a remainder.

1, 2, 4, 8, 16, 29, 32, 47, 58, 64, 94, 116, 188, 232, 376, 464, 752, 928, 1363, 1504, 1856, 2726, 3008, 5452, 10904, 21808, 43616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87216 and 87232. The biggest common factor number is the GCF number.
So the greatest common factor 87216 and 87232 is 16.

Also check out the Least Common Multiple of 87216 and 87232