What is the Greatest Common Factor of 4085 and 4104?

Greatest common factor (GCF) of 4085 and 4104 is 19.

GCF(4085,4104) = 19

We will now calculate the prime factors of 4085 and 4104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4085 and 4104.

How to find the GCF of 4085 and 4104?

We will first find the prime factorization of 4085 and 4104. After we will calculate the factors of 4085 and 4104 and find the biggest common factor number .

Step-1: Prime Factorization of 4085

Prime factors of 4085 are 5, 19, 43. Prime factorization of 4085 in exponential form is:

4085 = 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 4104

Prime factors of 4104 are 2, 3, 19. Prime factorization of 4104 in exponential form is:

4104 = 2³ × 3³ × 19¹

Step-3: Factors of 4085

List of positive integer factors of 4085 that divides 4085 without a remainder.

1, 5, 19, 43, 95, 215, 817

Step-4: Factors of 4104

List of positive integer factors of 4104 that divides 4085 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4085 and 4104. The biggest common factor number is the GCF number.
So the greatest common factor 4085 and 4104 is 19.

Also check out the Least Common Multiple of 4085 and 4104