Greatest Common Factor of 4067 and 4074

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 4067, 4074 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4067 and 4074 is 7.

GCF(4067,4074) = 7

GCF of 4067 and 4074

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

GCF of:
and

Greatest Common Factor of 4067 and 4074

GCF of 4067 and 4074 is 7

Prime Factorization of 4067


7 4067
7 581
83 83
1

Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:

4067 = 72×831

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

∴ So by taking common prime factors GCF of 4067 and 4074 is 7

Greatest Common Factor of 4067 and 4074 by matching factors method

Factors of 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1,7,49,83,581,4067

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

Greatest Common Factor

We found the factors and prime factorization of 4067 and 4074. The biggest common factor number is the GCF number.
So the greatest common factor 4067 and 4074 is 7.

Also check out the Least Common Multiple of 4067 and 4074

Properties of GCF 4067 and 4074

(i) The GCF of 4067 and 4074 is associative

GCF of 4067 and 4074 = GCF of 4074 and 4067

Related Greatest Common Factor of 4067

Related Greatest Common Factor of 4074

Frequently Asked Questions on GCF of 4067 and 4074

1. What is the GCF of 4067 and 4074?

Answer: GCF of 4067 and 4074 is 7.

2. What are the Factors of 4067?

Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.

3. 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.

4. How to Find the GCF of 4067 and 4074?

Answer:

Greatest Common Factor of 4067 and 4074 = 7

Step 1: Find the prime factorization of 4067

4067 = 7 x 7 x 83

Step 2: Find the prime factorization of 4074

4074 = 2 x 3 x 7 x 97

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4067 and 4074 is 7