What is the Greatest Common Factor of 4084 and 4104?

Greatest common factor (GCF) of 4084 and 4104 is 4.

GCF(4084,4104) = 4

We will now calculate the prime factors of 4084 and 4104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4084 and 4104.

How to find the GCF of 4084 and 4104?

We will first find the prime factorization of 4084 and 4104. After we will calculate the factors of 4084 and 4104 and find the biggest common factor number .

Step-1: Prime Factorization of 4084

Prime factors of 4084 are 2, 1021. Prime factorization of 4084 in exponential form is:

4084 = 2² × 1021¹

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 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1, 2, 4, 1021, 2042

Step-4: Factors of 4104

List of positive integer factors of 4104 that divides 4084 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 4084 and 4104. The biggest common factor number is the GCF number.
So the greatest common factor 4084 and 4104 is 4.

Also check out the Least Common Multiple of 4084 and 4104