What is the Greatest Common Factor of 84216 and 84224?

Greatest common factor (GCF) of 84216 and 84224 is 8.

GCF(84216,84224) = 8

We will now calculate the prime factors of 84216 and 84224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84216 and 84224.

How to find the GCF of 84216 and 84224?

We will first find the prime factorization of 84216 and 84224. After we will calculate the factors of 84216 and 84224 and find the biggest common factor number .

Step-1: Prime Factorization of 84216

Prime factors of 84216 are 2, 3, 11, 29. Prime factorization of 84216 in exponential form is:

84216 = 2³ × 3¹ × 11² × 29¹

Step-2: Prime Factorization of 84224

Prime factors of 84224 are 2, 7, 47. Prime factorization of 84224 in exponential form is:

84224 = 2⁸ × 7¹ × 47¹

Step-3: Factors of 84216

List of positive integer factors of 84216 that divides 84216 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 121, 132, 174, 232, 242, 264, 319, 348, 363, 484, 638, 696, 726, 957, 968, 1276, 1452, 1914, 2552, 2904, 3509, 3828, 7018, 7656, 10527, 14036, 21054, 28072, 42108

Step-4: Factors of 84224

List of positive integer factors of 84224 that divides 84216 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 64, 94, 112, 128, 188, 224, 256, 329, 376, 448, 658, 752, 896, 1316, 1504, 1792, 2632, 3008, 5264, 6016, 10528, 12032, 21056, 42112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84216 and 84224. The biggest common factor number is the GCF number.
So the greatest common factor 84216 and 84224 is 8.

Also check out the Least Common Multiple of 84216 and 84224