Greatest Common Factor of 4140 and 4142

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 4140, 4142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4140 and 4142 is 2.

GCF(4140,4142) = 2

GCF of 4140 and 4142

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

GCF of:
and

Greatest Common Factor of 4140 and 4142

GCF of 4140 and 4142 is 2

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

Prime Factorization of 4142


2 4142
19 2071
109 109
1

Prime factors of 4142 are 2,19,109. Prime factorization of 4142 in exponential form is:

4142 = 21×191×1091

∴ So by taking common prime factors GCF of 4140 and 4142 is 2

Greatest Common Factor of 4140 and 4142 by matching factors method

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

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Greatest Common Factor

We found the factors and prime factorization of 4140 and 4142. The biggest common factor number is the GCF number.
So the greatest common factor 4140 and 4142 is 2.

Also check out the Least Common Multiple of 4140 and 4142

Properties of GCF 4140 and 4142

(i) The GCF of 4140 and 4142 is associative

GCF of 4140 and 4142 = GCF of 4142 and 4140

Related Greatest Common Factor of 4140

Related Greatest Common Factor of 4142

Frequently Asked Questions on GCF of 4140 and 4142

1. What is the GCF of 4140 and 4142?

Answer: GCF of 4140 and 4142 is 2.

2. 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.

3. What are the Factors of 4142?

Answer: Factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142. There are 8 integers that are factors of 4142. The greatest factor of 4142 is 4142.

4. How to Find the GCF of 4140 and 4142?

Answer:

Greatest Common Factor of 4140 and 4142 = 2

Step 1: Find the prime factorization of 4140

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

Step 2: Find the prime factorization of 4142

4142 = 2 x 19 x 109

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 4140 and 4142 is 2