Greatest Common Factor of 3118 and 3122

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 3118, 3122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3118 and 3122 is 2.

GCF(3118,3122) = 2

GCF of 3118 and 3122

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

GCF of:
and

Greatest Common Factor of 3118 and 3122

GCF of 3118 and 3122 is 2

Prime Factorization of 3118


2 3118
1559 1559
1

Prime factors of 3118 are 2,1559. Prime factorization of 3118 in exponential form is:

3118 = 21×15591

Prime Factorization of 3122


2 3122
7 1561
223 223
1

Prime factors of 3122 are 2,7,223. Prime factorization of 3122 in exponential form is:

3122 = 21×71×2231

∴ So by taking common prime factors GCF of 3118 and 3122 is 2

Greatest Common Factor of 3118 and 3122 by matching factors method

Factors of 3118

List of positive integer factors of 3118 that divides 3118 without a remainder.

1,2,1559,3118

Factors of 3122

List of positive integer factors of 3122 that divides 3122 without a remainder.

1,2,7,14,223,446,1561,3122

Greatest Common Factor

We found the factors and prime factorization of 3118 and 3122. The biggest common factor number is the GCF number.
So the greatest common factor 3118 and 3122 is 2.

Also check out the Least Common Multiple of 3118 and 3122

Properties of GCF 3118 and 3122

(i) The GCF of 3118 and 3122 is associative

GCF of 3118 and 3122 = GCF of 3122 and 3118

Related Greatest Common Factor of 3118

Related Greatest Common Factor of 3122

Frequently Asked Questions on GCF of 3118 and 3122

1. What is the GCF of 3118 and 3122?

Answer: GCF of 3118 and 3122 is 2.

2. What are the Factors of 3118?

Answer: Factors of 3118 are 1, 2, 1559, 3118. There are 4 integers that are factors of 3118. The greatest factor of 3118 is 3118.

3. What are the Factors of 3122?

Answer: Factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122. There are 8 integers that are factors of 3122. The greatest factor of 3122 is 3122.

4. How to Find the GCF of 3118 and 3122?

Answer:

Greatest Common Factor of 3118 and 3122 = 2

Step 1: Find the prime factorization of 3118

3118 = 2 x 1559

Step 2: Find the prime factorization of 3122

3122 = 2 x 7 x 223

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 3118 and 3122 is 2