What is the Greatest Common Factor of 86634 and 86649?

Greatest common factor (GCF) of 86634 and 86649 is 3.

GCF(86634,86649) = 3

We will now calculate the prime factors of 86634 and 86649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86634 and 86649.

How to find the GCF of 86634 and 86649?

We will first find the prime factorization of 86634 and 86649. After we will calculate the factors of 86634 and 86649 and find the biggest common factor number .

Step-1: Prime Factorization of 86634

Prime factors of 86634 are 2, 3, 4813. Prime factorization of 86634 in exponential form is:

86634 = 2¹ × 3² × 4813¹

Step-2: Prime Factorization of 86649

Prime factors of 86649 are 3, 17, 1699. Prime factorization of 86649 in exponential form is:

86649 = 3¹ × 17¹ × 1699¹

Step-3: Factors of 86634

List of positive integer factors of 86634 that divides 86634 without a remainder.

1, 2, 3, 6, 9, 18, 4813, 9626, 14439, 28878, 43317

Step-4: Factors of 86649

List of positive integer factors of 86649 that divides 86634 without a remainder.

1, 3, 17, 51, 1699, 5097, 28883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86634 and 86649. The biggest common factor number is the GCF number.
So the greatest common factor 86634 and 86649 is 3.

Also check out the Least Common Multiple of 86634 and 86649