Greatest Common Factor of 3122 and 3129

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 3122, 3129 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3122 and 3129 is 7.

GCF(3122,3129) = 7

GCF of 3122 and 3129

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

GCF of:
and

Greatest Common Factor of 3122 and 3129

GCF of 3122 and 3129 is 7

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

Prime Factorization of 3129


3 3129
7 1043
149 149
1

Prime factors of 3129 are 3,7,149. Prime factorization of 3129 in exponential form is:

3129 = 31×71×1491

∴ So by taking common prime factors GCF of 3122 and 3129 is 7

Greatest Common Factor of 3122 and 3129 by matching factors method

Factors of 3122

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

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

Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1,3,7,21,149,447,1043,3129

Greatest Common Factor

We found the factors and prime factorization of 3122 and 3129. The biggest common factor number is the GCF number.
So the greatest common factor 3122 and 3129 is 7.

Also check out the Least Common Multiple of 3122 and 3129

Properties of GCF 3122 and 3129

(i) The GCF of 3122 and 3129 is associative

GCF of 3122 and 3129 = GCF of 3129 and 3122

Related Greatest Common Factor of 3122

Related Greatest Common Factor of 3129

Frequently Asked Questions on GCF of 3122 and 3129

1. What is the GCF of 3122 and 3129?

Answer: GCF of 3122 and 3129 is 7.

2. 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.

3. What are the Factors of 3129?

Answer: Factors of 3129 are 1, 3, 7, 21, 149, 447, 1043, 3129. There are 8 integers that are factors of 3129. The greatest factor of 3129 is 3129.

4. How to Find the GCF of 3122 and 3129?

Answer:

Greatest Common Factor of 3122 and 3129 = 7

Step 1: Find the prime factorization of 3122

3122 = 2 x 7 x 223

Step 2: Find the prime factorization of 3129

3129 = 3 x 7 x 149

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 3122 and 3129 is 7