Greatest Common Factor of 4134 and 4140

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 4134, 4140 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4134 and 4140 is 6.

GCF(4134,4140) = 6

GCF of 4134 and 4140

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

GCF of:
and

Greatest Common Factor of 4134 and 4140

GCF of 4134 and 4140 is 6

Prime Factorization of 4134


2 4134
3 2067
13 689
53 53
1

Prime factors of 4134 are 2,3,13,53. Prime factorization of 4134 in exponential form is:

4134 = 21×31×131×531

Prime Factorization of 4140


2 4140
2 2070
3 1035
3 345
5 115
23 23
1

Prime factors of 4140 are 2,3,5,23. Prime factorization of 4140 in exponential form is:

4140 = 22×32×51×231

∴ So by taking common prime factors GCF of 4134 and 4140 is 6

Greatest Common Factor of 4134 and 4140 by matching factors method

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140

Greatest Common Factor

We found the factors and prime factorization of 4134 and 4140. The biggest common factor number is the GCF number.
So the greatest common factor 4134 and 4140 is 6.

Also check out the Least Common Multiple of 4134 and 4140

Properties of GCF 4134 and 4140

(i) The GCF of 4134 and 4140 is associative

GCF of 4134 and 4140 = GCF of 4140 and 4134

Related Greatest Common Factor of 4134

Related Greatest Common Factor of 4140

Frequently Asked Questions on GCF of 4134 and 4140

1. What is the GCF of 4134 and 4140?

Answer: GCF of 4134 and 4140 is 6.

2. What are the Factors of 4134?

Answer: Factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134. There are 16 integers that are factors of 4134. The greatest factor of 4134 is 4134.

3. What are the Factors of 4140?

Answer: Factors of 4140 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140. There are 36 integers that are factors of 4140. The greatest factor of 4140 is 4140.

4. How to Find the GCF of 4134 and 4140?

Answer:

Greatest Common Factor of 4134 and 4140 = 6

Step 1: Find the prime factorization of 4134

4134 = 2 x 3 x 13 x 53

Step 2: Find the prime factorization of 4140

4140 = 2 x 2 x 3 x 3 x 5 x 23

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 4134 and 4140 is 6