What is the Greatest Common Factor of 86373 and 86380?

Greatest common factor (GCF) of 86373 and 86380 is 7.

GCF(86373,86380) = 7

We will now calculate the prime factors of 86373 and 86380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86373 and 86380.

How to find the GCF of 86373 and 86380?

We will first find the prime factorization of 86373 and 86380. After we will calculate the factors of 86373 and 86380 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 86380

Prime factors of 86380 are 2, 5, 7, 617. Prime factorization of 86380 in exponential form is:

86380 = 2² × 5¹ × 7¹ × 617¹

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 86380

List of positive integer factors of 86380 that divides 86373 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 617, 1234, 2468, 3085, 4319, 6170, 8638, 12340, 17276, 21595, 43190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86373 and 86380. The biggest common factor number is the GCF number.
So the greatest common factor 86373 and 86380 is 7.

Also check out the Least Common Multiple of 86373 and 86380