What is the Greatest Common Factor of 86380 and 86395?

Greatest common factor (GCF) of 86380 and 86395 is 5.

GCF(86380,86395) = 5

We will now calculate the prime factors of 86380 and 86395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86380 and 86395.

How to find the GCF of 86380 and 86395?

We will first find the prime factorization of 86380 and 86395. After we will calculate the factors of 86380 and 86395 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86395

Prime factors of 86395 are 5, 37, 467. Prime factorization of 86395 in exponential form is:

86395 = 5¹ × 37¹ × 467¹

Step-3: Factors of 86380

List of positive integer factors of 86380 that divides 86380 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

Step-4: Factors of 86395

List of positive integer factors of 86395 that divides 86380 without a remainder.

1, 5, 37, 185, 467, 2335, 17279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86380 and 86395. The biggest common factor number is the GCF number.
So the greatest common factor 86380 and 86395 is 5.

Also check out the Least Common Multiple of 86380 and 86395