What is the Greatest Common Factor of 86373 and 86387?

Greatest common factor (GCF) of 86373 and 86387 is 7.

GCF(86373,86387) = 7

We will now calculate the prime factors of 86373 and 86387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86373 and 86387.

How to find the GCF of 86373 and 86387?

We will first find the prime factorization of 86373 and 86387. After we will calculate the factors of 86373 and 86387 and find the biggest common factor number .

Step-1: Prime Factorization of 86373

Prime factors of 86373 are 3, 7, 457. Prime factorization of 86373 in exponential form is:

86373 = 3³ × 7¹ × 457¹

Step-2: Prime Factorization of 86387

Prime factors of 86387 are 7, 41, 43. Prime factorization of 86387 in exponential form is:

86387 = 7² × 41¹ × 43¹

Step-3: Factors of 86373

List of positive integer factors of 86373 that divides 86373 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 457, 1371, 3199, 4113, 9597, 12339, 28791

Step-4: Factors of 86387

List of positive integer factors of 86387 that divides 86373 without a remainder.

1, 7, 41, 43, 49, 287, 301, 1763, 2009, 2107, 12341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86373 and 86387. The biggest common factor number is the GCF number.
So the greatest common factor 86373 and 86387 is 7.

Also check out the Least Common Multiple of 86373 and 86387