Greatest Common Factor of 4074 and 4082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4074, 4082 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4074 and 4082 is 2.

GCF(4074,4082) = 2

GCF of 4074 and 4082

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4074 and 4082

GCF of 4074 and 4082 is 2

Prime Factorization of 4074


2 4074
3 2037
7 679
97 97
1

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

4074 = 21×31×71×971

Prime Factorization of 4082


2 4082
13 2041
157 157
1

Prime factors of 4082 are 2,13,157. Prime factorization of 4082 in exponential form is:

4082 = 21×131×1571

∴ So by taking common prime factors GCF of 4074 and 4082 is 2

Greatest Common Factor of 4074 and 4082 by matching factors method

Factors of 4074

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

1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074

Factors of 4082

List of positive integer factors of 4082 that divides 4082 without a remainder.

1,2,13,26,157,314,2041,4082

Greatest Common Factor

We found the factors and prime factorization of 4074 and 4082. The biggest common factor number is the GCF number.
So the greatest common factor 4074 and 4082 is 2.

Also check out the Least Common Multiple of 4074 and 4082

Properties of GCF 4074 and 4082

(i) The GCF of 4074 and 4082 is associative

GCF of 4074 and 4082 = GCF of 4082 and 4074

Related Greatest Common Factor of 4074

Related Greatest Common Factor of 4082

Frequently Asked Questions on GCF of 4074 and 4082

1. What is the GCF of 4074 and 4082?

Answer: GCF of 4074 and 4082 is 2.

2. What are the Factors of 4074?

Answer: Factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074. There are 16 integers that are factors of 4074. The greatest factor of 4074 is 4074.

3. What are the Factors of 4082?

Answer: Factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082. There are 8 integers that are factors of 4082. The greatest factor of 4082 is 4082.

4. How to Find the GCF of 4074 and 4082?

Answer:

Greatest Common Factor of 4074 and 4082 = 2

Step 1: Find the prime factorization of 4074

4074 = 2 x 3 x 7 x 97

Step 2: Find the prime factorization of 4082

4082 = 2 x 13 x 157

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4074 and 4082 is 2