What is the Greatest Common Factor of 83945 and 83965?

Greatest common factor (GCF) of 83945 and 83965 is 5.

GCF(83945,83965) = 5

We will now calculate the prime factors of 83945 and 83965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83945 and 83965.

How to find the GCF of 83945 and 83965?

We will first find the prime factorization of 83945 and 83965. After we will calculate the factors of 83945 and 83965 and find the biggest common factor number .

Step-1: Prime Factorization of 83945

Prime factors of 83945 are 5, 103, 163. Prime factorization of 83945 in exponential form is:

83945 = 5¹ × 103¹ × 163¹

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 83945

List of positive integer factors of 83945 that divides 83945 without a remainder.

1, 5, 103, 163, 515, 815, 16789

Step-4: Factors of 83965

List of positive integer factors of 83965 that divides 83945 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83945 and 83965. The biggest common factor number is the GCF number.
So the greatest common factor 83945 and 83965 is 5.

Also check out the Least Common Multiple of 83945 and 83965