What is the Greatest Common Factor of 86471 and 86482?

Greatest common factor (GCF) of 86471 and 86482 is 11.

GCF(86471,86482) = 11

We will now calculate the prime factors of 86471 and 86482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86471 and 86482.

How to find the GCF of 86471 and 86482?

We will first find the prime factorization of 86471 and 86482. After we will calculate the factors of 86471 and 86482 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86482

Prime factors of 86482 are 2, 11, 3931. Prime factorization of 86482 in exponential form is:

86482 = 2¹ × 11¹ × 3931¹

Step-3: Factors of 86471

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

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

Step-4: Factors of 86482

List of positive integer factors of 86482 that divides 86471 without a remainder.

1, 2, 11, 22, 3931, 7862, 43241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86471 and 86482. The biggest common factor number is the GCF number.
So the greatest common factor 86471 and 86482 is 11.

Also check out the Least Common Multiple of 86471 and 86482