What is the Greatest Common Factor of 86472 and 86481?

Greatest common factor (GCF) of 86472 and 86481 is 9.

GCF(86472,86481) = 9

We will now calculate the prime factors of 86472 and 86481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86472 and 86481.

How to find the GCF of 86472 and 86481?

We will first find the prime factorization of 86472 and 86481. After we will calculate the factors of 86472 and 86481 and find the biggest common factor number .

Step-1: Prime Factorization of 86472

Prime factors of 86472 are 2, 3, 1201. Prime factorization of 86472 in exponential form is:

86472 = 2³ × 3² × 1201¹

Step-2: Prime Factorization of 86481

Prime factors of 86481 are 3, 3203. Prime factorization of 86481 in exponential form is:

86481 = 3³ × 3203¹

Step-3: Factors of 86472

List of positive integer factors of 86472 that divides 86472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1201, 2402, 3603, 4804, 7206, 9608, 10809, 14412, 21618, 28824, 43236

Step-4: Factors of 86481

List of positive integer factors of 86481 that divides 86472 without a remainder.

1, 3, 9, 27, 3203, 9609, 28827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86472 and 86481. The biggest common factor number is the GCF number.
So the greatest common factor 86472 and 86481 is 9.

Also check out the Least Common Multiple of 86472 and 86481