Greatest Common Factor of 3126 and 3132

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 3126, 3132 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3126 and 3132 is 6.

GCF(3126,3132) = 6

GCF of 3126 and 3132

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

GCF of:
and

Greatest Common Factor of 3126 and 3132

GCF of 3126 and 3132 is 6

Prime Factorization of 3126


2 3126
3 1563
521 521
1

Prime factors of 3126 are 2,3,521. Prime factorization of 3126 in exponential form is:

3126 = 21×31×5211

Prime Factorization of 3132


2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 3132 are 2,3,29. Prime factorization of 3132 in exponential form is:

3132 = 22×33×291

∴ So by taking common prime factors GCF of 3126 and 3132 is 6

Greatest Common Factor of 3126 and 3132 by matching factors method

Factors of 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1,2,3,6,521,1042,1563,3126

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132

Greatest Common Factor

We found the factors and prime factorization of 3126 and 3132. The biggest common factor number is the GCF number.
So the greatest common factor 3126 and 3132 is 6.

Also check out the Least Common Multiple of 3126 and 3132

Properties of GCF 3126 and 3132

(i) The GCF of 3126 and 3132 is associative

GCF of 3126 and 3132 = GCF of 3132 and 3126

Related Greatest Common Factor of 3126

Related Greatest Common Factor of 3132

Frequently Asked Questions on GCF of 3126 and 3132

1. What is the GCF of 3126 and 3132?

Answer: GCF of 3126 and 3132 is 6.

2. What are the Factors of 3126?

Answer: Factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126. There are 8 integers that are factors of 3126. The greatest factor of 3126 is 3126.

3. What are the Factors of 3132?

Answer: Factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. There are 24 integers that are factors of 3132. The greatest factor of 3132 is 3132.

4. How to Find the GCF of 3126 and 3132?

Answer:

Greatest Common Factor of 3126 and 3132 = 6

Step 1: Find the prime factorization of 3126

3126 = 2 x 3 x 521

Step 2: Find the prime factorization of 3132

3132 = 2 x 2 x 3 x 3 x 3 x 29

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3126 and 3132 is 6