Greatest Common Factor of 2118 and 2124

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 2118, 2124 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2118 and 2124 is 6.

GCF(2118,2124) = 6

GCF of 2118 and 2124

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

GCF of:
and

Greatest Common Factor of 2118 and 2124

GCF of 2118 and 2124 is 6

Prime Factorization of 2118


2 2118
3 1059
353 353
1

Prime factors of 2118 are 2,3,353. Prime factorization of 2118 in exponential form is:

2118 = 21×31×3531

Prime Factorization of 2124


2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 2124 are 2,3,59. Prime factorization of 2124 in exponential form is:

2124 = 22×32×591

∴ So by taking common prime factors GCF of 2118 and 2124 is 6

Greatest Common Factor of 2118 and 2124 by matching factors method

Factors of 2118

List of positive integer factors of 2118 that divides 2118 without a remainder.

1,2,3,6,353,706,1059,2118

Factors of 2124

List of positive integer factors of 2124 that divides 2124 without a remainder.

1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124

Greatest Common Factor

We found the factors and prime factorization of 2118 and 2124. The biggest common factor number is the GCF number.
So the greatest common factor 2118 and 2124 is 6.

Also check out the Least Common Multiple of 2118 and 2124

Properties of GCF 2118 and 2124

(i) The GCF of 2118 and 2124 is associative

GCF of 2118 and 2124 = GCF of 2124 and 2118

Related Greatest Common Factor of 2118

Related Greatest Common Factor of 2124

Frequently Asked Questions on GCF of 2118 and 2124

1. What is the GCF of 2118 and 2124?

Answer: GCF of 2118 and 2124 is 6.

2. What are the Factors of 2118?

Answer: Factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118. There are 8 integers that are factors of 2118. The greatest factor of 2118 is 2118.

3. What are the Factors of 2124?

Answer: Factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124. There are 18 integers that are factors of 2124. The greatest factor of 2124 is 2124.

4. How to Find the GCF of 2118 and 2124?

Answer:

Greatest Common Factor of 2118 and 2124 = 6

Step 1: Find the prime factorization of 2118

2118 = 2 x 3 x 353

Step 2: Find the prime factorization of 2124

2124 = 2 x 2 x 3 x 3 x 59

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 2118 and 2124 is 6