What is the Greatest Common Factor of 4074 and 4084?

Greatest common factor (GCF) of 4074 and 4084 is 2.

GCF(4074,4084) = 2

We will now calculate the prime factors of 4074 and 4084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4074 and 4084.

How to find the GCF of 4074 and 4084?

We will first find the prime factorization of 4074 and 4084. After we will calculate the factors of 4074 and 4084 and find the biggest common factor number .

Step-1: Prime Factorization of 4074

Prime factors of 4074 are 2, 3, 7, 97. Prime factorization of 4074 in exponential form is:

4074 = 2¹ × 3¹ × 7¹ × 97¹

Step-2: Prime Factorization of 4084

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

4084 = 2² × 1021¹

Step-3: Factors of 4074

List of positive integer factors of 4074 that divides 4074 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037

Step-4: Factors of 4084

List of positive integer factors of 4084 that divides 4074 without a remainder.

1, 2, 4, 1021, 2042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4074 and 4084. The biggest common factor number is the GCF number.
So the greatest common factor 4074 and 4084 is 2.

Also check out the Least Common Multiple of 4074 and 4084