What is the Greatest Common Factor of 4074 and 4088?

Greatest common factor (GCF) of 4074 and 4088 is 14.

GCF(4074,4088) = 14

We will now calculate the prime factors of 4074 and 4088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4074 and 4088.

How to find the GCF of 4074 and 4088?

We will first find the prime factorization of 4074 and 4088. After we will calculate the factors of 4074 and 4088 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 4088

Prime factors of 4088 are 2, 7, 73. Prime factorization of 4088 in exponential form is:

4088 = 2³ × 7¹ × 73¹

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 4088

List of positive integer factors of 4088 that divides 4074 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4074 and 4088. The biggest common factor number is the GCF number.
So the greatest common factor 4074 and 4088 is 14.

Also check out the Least Common Multiple of 4074 and 4088