What is the Greatest Common Factor of 83925 and 83940?

Greatest common factor (GCF) of 83925 and 83940 is 15.

GCF(83925,83940) = 15

We will now calculate the prime factors of 83925 and 83940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83925 and 83940.

How to find the GCF of 83925 and 83940?

We will first find the prime factorization of 83925 and 83940. After we will calculate the factors of 83925 and 83940 and find the biggest common factor number .

Step-1: Prime Factorization of 83925

Prime factors of 83925 are 3, 5, 373. Prime factorization of 83925 in exponential form is:

83925 = 3² × 5² × 373¹

Step-2: Prime Factorization of 83940

Prime factors of 83940 are 2, 3, 5, 1399. Prime factorization of 83940 in exponential form is:

83940 = 2² × 3¹ × 5¹ × 1399¹

Step-3: Factors of 83925

List of positive integer factors of 83925 that divides 83925 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 373, 1119, 1865, 3357, 5595, 9325, 16785, 27975

Step-4: Factors of 83940

List of positive integer factors of 83940 that divides 83925 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1399, 2798, 4197, 5596, 6995, 8394, 13990, 16788, 20985, 27980, 41970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83925 and 83940. The biggest common factor number is the GCF number.
So the greatest common factor 83925 and 83940 is 15.

Also check out the Least Common Multiple of 83925 and 83940