What is the Greatest Common Factor of 8380 and 8395?

Greatest common factor (GCF) of 8380 and 8395 is 5.

GCF(8380,8395) = 5

We will now calculate the prime factors of 8380 and 8395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8380 and 8395.

How to find the GCF of 8380 and 8395?

We will first find the prime factorization of 8380 and 8395. After we will calculate the factors of 8380 and 8395 and find the biggest common factor number .

Step-1: Prime Factorization of 8380

Prime factors of 8380 are 2, 5, 419. Prime factorization of 8380 in exponential form is:

8380 = 2² × 5¹ × 419¹

Step-2: Prime Factorization of 8395

Prime factors of 8395 are 5, 23, 73. Prime factorization of 8395 in exponential form is:

8395 = 5¹ × 23¹ × 73¹

Step-3: Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190

Step-4: Factors of 8395

List of positive integer factors of 8395 that divides 8380 without a remainder.

1, 5, 23, 73, 115, 365, 1679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8380 and 8395. The biggest common factor number is the GCF number.
So the greatest common factor 8380 and 8395 is 5.

Also check out the Least Common Multiple of 8380 and 8395