Greatest Common Factor of 2142 and 2144

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 2142, 2144 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2142 and 2144 is 2.

GCF(2142,2144) = 2

GCF of 2142 and 2144

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

GCF of:
and

Greatest Common Factor of 2142 and 2144

GCF of 2142 and 2144 is 2

Prime Factorization of 2142


2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 2142 are 2,3,7,17. Prime factorization of 2142 in exponential form is:

2142 = 21×32×71×171

Prime Factorization of 2144


2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 2144 are 2,67. Prime factorization of 2144 in exponential form is:

2144 = 25×671

∴ So by taking common prime factors GCF of 2142 and 2144 is 2

Greatest Common Factor of 2142 and 2144 by matching factors method

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1,2,4,8,16,32,67,134,268,536,1072,2144

Greatest Common Factor

We found the factors and prime factorization of 2142 and 2144. The biggest common factor number is the GCF number.
So the greatest common factor 2142 and 2144 is 2.

Also check out the Least Common Multiple of 2142 and 2144

Properties of GCF 2142 and 2144

(i) The GCF of 2142 and 2144 is associative

GCF of 2142 and 2144 = GCF of 2144 and 2142

Related Greatest Common Factor of 2142

Related Greatest Common Factor of 2144

Frequently Asked Questions on GCF of 2142 and 2144

1. What is the GCF of 2142 and 2144?

Answer: GCF of 2142 and 2144 is 2.

2. What are the Factors of 2142?

Answer: Factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. There are 24 integers that are factors of 2142. The greatest factor of 2142 is 2142.

3. What are the Factors of 2144?

Answer: Factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144. There are 12 integers that are factors of 2144. The greatest factor of 2144 is 2144.

4. How to Find the GCF of 2142 and 2144?

Answer:

Greatest Common Factor of 2142 and 2144 = 2

Step 1: Find the prime factorization of 2142

2142 = 2 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 2144

2144 = 2 x 2 x 2 x 2 x 2 x 67

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 2142 and 2144 is 2