What is the Greatest Common Factor of 84224 and 84232?

Greatest common factor (GCF) of 84224 and 84232 is 8.

GCF(84224,84232) = 8

We will now calculate the prime factors of 84224 and 84232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84224 and 84232.

How to find the GCF of 84224 and 84232?

We will first find the prime factorization of 84224 and 84232. After we will calculate the factors of 84224 and 84232 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84232

Prime factors of 84232 are 2, 10529. Prime factorization of 84232 in exponential form is:

84232 = 2³ × 10529¹

Step-3: Factors of 84224

List of positive integer factors of 84224 that divides 84224 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

Step-4: Factors of 84232

List of positive integer factors of 84232 that divides 84224 without a remainder.

1, 2, 4, 8, 10529, 21058, 42116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84224 and 84232. The biggest common factor number is the GCF number.
So the greatest common factor 84224 and 84232 is 8.

Also check out the Least Common Multiple of 84224 and 84232