What is the Greatest Common Factor of 4074 and 4081?

Greatest common factor (GCF) of 4074 and 4081 is 7.

GCF(4074,4081) = 7

We will now calculate the prime factors of 4074 and 4081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4074 and 4081.

How to find the GCF of 4074 and 4081?

We will first find the prime factorization of 4074 and 4081. After we will calculate the factors of 4074 and 4081 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 4081

Prime factors of 4081 are 7, 11, 53. Prime factorization of 4081 in exponential form is:

4081 = 7¹ × 11¹ × 53¹

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 4081

List of positive integer factors of 4081 that divides 4074 without a remainder.

1, 7, 11, 53, 77, 371, 583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4074 and 4081. The biggest common factor number is the GCF number.
So the greatest common factor 4074 and 4081 is 7.

Also check out the Least Common Multiple of 4074 and 4081