What is the Greatest Common Factor of 86378 and 86390?

Greatest common factor (GCF) of 86378 and 86390 is 2.

GCF(86378,86390) = 2

We will now calculate the prime factors of 86378 and 86390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86378 and 86390.

How to find the GCF of 86378 and 86390?

We will first find the prime factorization of 86378 and 86390. After we will calculate the factors of 86378 and 86390 and find the biggest common factor number .

Step-1: Prime Factorization of 86378

Prime factors of 86378 are 2, 43189. Prime factorization of 86378 in exponential form is:

86378 = 2¹ × 43189¹

Step-2: Prime Factorization of 86390

Prime factors of 86390 are 2, 5, 53, 163. Prime factorization of 86390 in exponential form is:

86390 = 2¹ × 5¹ × 53¹ × 163¹

Step-3: Factors of 86378

List of positive integer factors of 86378 that divides 86378 without a remainder.

1, 2, 43189

Step-4: Factors of 86390

List of positive integer factors of 86390 that divides 86378 without a remainder.

1, 2, 5, 10, 53, 106, 163, 265, 326, 530, 815, 1630, 8639, 17278, 43195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86378 and 86390. The biggest common factor number is the GCF number.
So the greatest common factor 86378 and 86390 is 2.

Also check out the Least Common Multiple of 86378 and 86390