What is the Greatest Common Factor of 86360 and 86378?

Greatest common factor (GCF) of 86360 and 86378 is 2.

GCF(86360,86378) = 2

We will now calculate the prime factors of 86360 and 86378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86360 and 86378.

How to find the GCF of 86360 and 86378?

We will first find the prime factorization of 86360 and 86378. After we will calculate the factors of 86360 and 86378 and find the biggest common factor number .

Step-1: Prime Factorization of 86360

Prime factors of 86360 are 2, 5, 17, 127. Prime factorization of 86360 in exponential form is:

86360 = 2³ × 5¹ × 17¹ × 127¹

Step-2: Prime Factorization of 86378

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

86378 = 2¹ × 43189¹

Step-3: Factors of 86360

List of positive integer factors of 86360 that divides 86360 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 127, 136, 170, 254, 340, 508, 635, 680, 1016, 1270, 2159, 2540, 4318, 5080, 8636, 10795, 17272, 21590, 43180

Step-4: Factors of 86378

List of positive integer factors of 86378 that divides 86360 without a remainder.

1, 2, 43189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86360 and 86378. The biggest common factor number is the GCF number.
So the greatest common factor 86360 and 86378 is 2.

Also check out the Least Common Multiple of 86360 and 86378