What is the Greatest Common Factor of 86366 and 86380?

Greatest common factor (GCF) of 86366 and 86380 is 14.

GCF(86366,86380) = 14

We will now calculate the prime factors of 86366 and 86380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86366 and 86380.

How to find the GCF of 86366 and 86380?

We will first find the prime factorization of 86366 and 86380. After we will calculate the factors of 86366 and 86380 and find the biggest common factor number .

Step-1: Prime Factorization of 86366

Prime factors of 86366 are 2, 7, 31, 199. Prime factorization of 86366 in exponential form is:

86366 = 2¹ × 7¹ × 31¹ × 199¹

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 86366

List of positive integer factors of 86366 that divides 86366 without a remainder.

1, 2, 7, 14, 31, 62, 199, 217, 398, 434, 1393, 2786, 6169, 12338, 43183

Step-4: Factors of 86380

List of positive integer factors of 86380 that divides 86366 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 86366 and 86380. The biggest common factor number is the GCF number.
So the greatest common factor 86366 and 86380 is 14.

Also check out the Least Common Multiple of 86366 and 86380