What is the Greatest Common Factor of 86427 and 86438?

Greatest common factor (GCF) of 86427 and 86438 is 11.

GCF(86427,86438) = 11

We will now calculate the prime factors of 86427 and 86438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86427 and 86438.

How to find the GCF of 86427 and 86438?

We will first find the prime factorization of 86427 and 86438. After we will calculate the factors of 86427 and 86438 and find the biggest common factor number .

Step-1: Prime Factorization of 86427

Prime factors of 86427 are 3, 11, 97. Prime factorization of 86427 in exponential form is:

86427 = 3⁴ × 11¹ × 97¹

Step-2: Prime Factorization of 86438

Prime factors of 86438 are 2, 11, 3929. Prime factorization of 86438 in exponential form is:

86438 = 2¹ × 11¹ × 3929¹

Step-3: Factors of 86427

List of positive integer factors of 86427 that divides 86427 without a remainder.

1, 3, 9, 11, 27, 33, 81, 97, 99, 291, 297, 873, 891, 1067, 2619, 3201, 7857, 9603, 28809

Step-4: Factors of 86438

List of positive integer factors of 86438 that divides 86427 without a remainder.

1, 2, 11, 22, 3929, 7858, 43219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86427 and 86438. The biggest common factor number is the GCF number.
So the greatest common factor 86427 and 86438 is 11.

Also check out the Least Common Multiple of 86427 and 86438