Greatest Common Factor of 2142 and 2148

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, 2148 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2142 and 2148 is 6.

GCF(2142,2148) = 6

GCF of 2142 and 2148

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

GCF of:
and

Greatest Common Factor of 2142 and 2148

GCF of 2142 and 2148 is 6

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 2148


2 2148
2 1074
3 537
179 179
1

Prime factors of 2148 are 2,3,179. Prime factorization of 2148 in exponential form is:

2148 = 22×31×1791

∴ So by taking common prime factors GCF of 2142 and 2148 is 6

Greatest Common Factor of 2142 and 2148 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 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1,2,3,4,6,12,179,358,537,716,1074,2148

Greatest Common Factor

We found the factors and prime factorization of 2142 and 2148. The biggest common factor number is the GCF number.
So the greatest common factor 2142 and 2148 is 6.

Also check out the Least Common Multiple of 2142 and 2148

Properties of GCF 2142 and 2148

(i) The GCF of 2142 and 2148 is associative

GCF of 2142 and 2148 = GCF of 2148 and 2142

Related Greatest Common Factor of 2142

Related Greatest Common Factor of 2148

Frequently Asked Questions on GCF of 2142 and 2148

1. What is the GCF of 2142 and 2148?

Answer: GCF of 2142 and 2148 is 6.

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 2148?

Answer: Factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148. There are 12 integers that are factors of 2148. The greatest factor of 2148 is 2148.

4. How to Find the GCF of 2142 and 2148?

Answer:

Greatest Common Factor of 2142 and 2148 = 6

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 2148

2148 = 2 x 2 x 3 x 179

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 2142 and 2148 is 6