What is the Greatest Common Factor of 86360 and 86377?

Greatest common factor (GCF) of 86360 and 86377 is 17.

GCF(86360,86377) = 17

We will now calculate the prime factors of 86360 and 86377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86360 and 86377.

How to find the GCF of 86360 and 86377?

We will first find the prime factorization of 86360 and 86377. After we will calculate the factors of 86360 and 86377 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 86377

Prime factors of 86377 are 17, 5081. Prime factorization of 86377 in exponential form is:

86377 = 17¹ × 5081¹

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 86377

List of positive integer factors of 86377 that divides 86360 without a remainder.

1, 17, 5081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86360 and 86377. The biggest common factor number is the GCF number.
So the greatest common factor 86360 and 86377 is 17.

Also check out the Least Common Multiple of 86360 and 86377