What is the Greatest Common Factor of 86464 and 86471?

Greatest common factor (GCF) of 86464 and 86471 is 7.

GCF(86464,86471) = 7

We will now calculate the prime factors of 86464 and 86471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86464 and 86471.

How to find the GCF of 86464 and 86471?

We will first find the prime factorization of 86464 and 86471. After we will calculate the factors of 86464 and 86471 and find the biggest common factor number .

Step-1: Prime Factorization of 86464

Prime factors of 86464 are 2, 7, 193. Prime factorization of 86464 in exponential form is:

86464 = 2⁶ × 7¹ × 193¹

Step-2: Prime Factorization of 86471

Prime factors of 86471 are 7, 11, 1123. Prime factorization of 86471 in exponential form is:

86471 = 7¹ × 11¹ × 1123¹

Step-3: Factors of 86464

List of positive integer factors of 86464 that divides 86464 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 193, 224, 386, 448, 772, 1351, 1544, 2702, 3088, 5404, 6176, 10808, 12352, 21616, 43232

Step-4: Factors of 86471

List of positive integer factors of 86471 that divides 86464 without a remainder.

1, 7, 11, 77, 1123, 7861, 12353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86464 and 86471. The biggest common factor number is the GCF number.
So the greatest common factor 86464 and 86471 is 7.

Also check out the Least Common Multiple of 86464 and 86471