Greatest Common Factor of 2148 and 2154

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 2148, 2154 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2148 and 2154 is 6.

GCF(2148,2154) = 6

GCF of 2148 and 2154

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

GCF of:
and

Greatest Common Factor of 2148 and 2154

GCF of 2148 and 2154 is 6

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

Prime Factorization of 2154


2 2154
3 1077
359 359
1

Prime factors of 2154 are 2,3,359. Prime factorization of 2154 in exponential form is:

2154 = 21×31×3591

∴ So by taking common prime factors GCF of 2148 and 2154 is 6

Greatest Common Factor of 2148 and 2154 by matching factors method

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

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1,2,3,6,359,718,1077,2154

Greatest Common Factor

We found the factors and prime factorization of 2148 and 2154. The biggest common factor number is the GCF number.
So the greatest common factor 2148 and 2154 is 6.

Also check out the Least Common Multiple of 2148 and 2154

Properties of GCF 2148 and 2154

(i) The GCF of 2148 and 2154 is associative

GCF of 2148 and 2154 = GCF of 2154 and 2148

Related Greatest Common Factor of 2148

Related Greatest Common Factor of 2154

Frequently Asked Questions on GCF of 2148 and 2154

1. What is the GCF of 2148 and 2154?

Answer: GCF of 2148 and 2154 is 6.

2. 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.

3. What are the Factors of 2154?

Answer: Factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154. There are 8 integers that are factors of 2154. The greatest factor of 2154 is 2154.

4. How to Find the GCF of 2148 and 2154?

Answer:

Greatest Common Factor of 2148 and 2154 = 6

Step 1: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 2154

2154 = 2 x 3 x 359

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 2148 and 2154 is 6