What is the Greatest Common Factor of 84224 and 84231?

Greatest common factor (GCF) of 84224 and 84231 is 7.

GCF(84224,84231) = 7

We will now calculate the prime factors of 84224 and 84231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84224 and 84231.

How to find the GCF of 84224 and 84231?

We will first find the prime factorization of 84224 and 84231. After we will calculate the factors of 84224 and 84231 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 84231

Prime factors of 84231 are 3, 7, 191. Prime factorization of 84231 in exponential form is:

84231 = 3² × 7² × 191¹

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 84231

List of positive integer factors of 84231 that divides 84224 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 191, 441, 573, 1337, 1719, 4011, 9359, 12033, 28077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84224 and 84231. The biggest common factor number is the GCF number.
So the greatest common factor 84224 and 84231 is 7.

Also check out the Least Common Multiple of 84224 and 84231