What is the Greatest Common Factor of 4074 and 4078?

Greatest common factor (GCF) of 4074 and 4078 is 2.

GCF(4074,4078) = 2

We will now calculate the prime factors of 4074 and 4078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4074 and 4078.

How to find the GCF of 4074 and 4078?

We will first find the prime factorization of 4074 and 4078. After we will calculate the factors of 4074 and 4078 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 4078

Prime factors of 4078 are 2, 2039. Prime factorization of 4078 in exponential form is:

4078 = 2¹ × 2039¹

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 4078

List of positive integer factors of 4078 that divides 4074 without a remainder.

1, 2, 2039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4074 and 4078. The biggest common factor number is the GCF number.
So the greatest common factor 4074 and 4078 is 2.

Also check out the Least Common Multiple of 4074 and 4078