Greatest Common Factor of 3123 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 3123, 3129 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3123 and 3129 is 3.

GCF(3123,3129) = 3

GCF of 3123 and 3129

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

GCF of:
and

Greatest Common Factor of 3123 and 3129

GCF of 3123 and 3129 is 3

Prime Factorization of 3123


3 3123
3 1041
347 347
1

Prime factors of 3123 are 3,347. Prime factorization of 3123 in exponential form is:

3123 = 32×3471

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 3123 and 3129 is 3

Greatest Common Factor of 3123 and 3129 by matching factors method

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1,3,9,347,1041,3123

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 3123 and 3129. The biggest common factor number is the GCF number.
So the greatest common factor 3123 and 3129 is 3.

Also check out the Least Common Multiple of 3123 and 3129

Properties of GCF 3123 and 3129

(i) The GCF of 3123 and 3129 is associative

GCF of 3123 and 3129 = GCF of 3129 and 3123

Related Greatest Common Factor of 3123

Related Greatest Common Factor of 3129

Frequently Asked Questions on GCF of 3123 and 3129

1. What is the GCF of 3123 and 3129?

Answer: GCF of 3123 and 3129 is 3.

2. What are the Factors of 3123?

Answer: Factors of 3123 are 1, 3, 9, 347, 1041, 3123. There are 6 integers that are factors of 3123. The greatest factor of 3123 is 3123.

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 3123 and 3129?

Answer:

Greatest Common Factor of 3123 and 3129 = 3

Step 1: Find the prime factorization of 3123

3123 = 3 x 3 x 347

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 = 3

Step 4: Therefore, the greatest common factor of 3123 and 3129 is 3