What is the Greatest Common Factor of 83960 and 83965?

Greatest common factor (GCF) of 83960 and 83965 is 5.

GCF(83960,83965) = 5

We will now calculate the prime factors of 83960 and 83965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83960 and 83965.

How to find the GCF of 83960 and 83965?

We will first find the prime factorization of 83960 and 83965. After we will calculate the factors of 83960 and 83965 and find the biggest common factor number .

Step-1: Prime Factorization of 83960

Prime factors of 83960 are 2, 5, 2099. Prime factorization of 83960 in exponential form is:

83960 = 2³ × 5¹ × 2099¹

Step-2: Prime Factorization of 83965

Prime factors of 83965 are 5, 7, 2399. Prime factorization of 83965 in exponential form is:

83965 = 5¹ × 7¹ × 2399¹

Step-3: Factors of 83960

List of positive integer factors of 83960 that divides 83960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2099, 4198, 8396, 10495, 16792, 20990, 41980

Step-4: Factors of 83965

List of positive integer factors of 83965 that divides 83960 without a remainder.

1, 5, 7, 35, 2399, 11995, 16793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83960 and 83965. The biggest common factor number is the GCF number.
So the greatest common factor 83960 and 83965 is 5.

Also check out the Least Common Multiple of 83960 and 83965