What is the Greatest Common Factor of 8365 and 8380?

Greatest common factor (GCF) of 8365 and 8380 is 5.

GCF(8365,8380) = 5

We will now calculate the prime factors of 8365 and 8380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8365 and 8380.

How to find the GCF of 8365 and 8380?

We will first find the prime factorization of 8365 and 8380. After we will calculate the factors of 8365 and 8380 and find the biggest common factor number .

Step-1: Prime Factorization of 8365

Prime factors of 8365 are 5, 7, 239. Prime factorization of 8365 in exponential form is:

8365 = 5¹ × 7¹ × 239¹

Step-2: 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-3: Factors of 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1, 5, 7, 35, 239, 1195, 1673

Step-4: Factors of 8380

List of positive integer factors of 8380 that divides 8365 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8365 and 8380. The biggest common factor number is the GCF number.
So the greatest common factor 8365 and 8380 is 5.

Also check out the Least Common Multiple of 8365 and 8380