Greatest Common Factor of 2122 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 2122, 2124 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2122 and 2124 is 2.

GCF(2122,2124) = 2

GCF of 2122 and 2124

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

GCF of:
and

Greatest Common Factor of 2122 and 2124

GCF of 2122 and 2124 is 2

Prime Factorization of 2122


2 2122
1061 1061
1

Prime factors of 2122 are 2,1061. Prime factorization of 2122 in exponential form is:

2122 = 21×10611

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 2122 and 2124 is 2

Greatest Common Factor of 2122 and 2124 by matching factors method

Factors of 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1,2,1061,2122

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 2122 and 2124. The biggest common factor number is the GCF number.
So the greatest common factor 2122 and 2124 is 2.

Also check out the Least Common Multiple of 2122 and 2124

Properties of GCF 2122 and 2124

(i) The GCF of 2122 and 2124 is associative

GCF of 2122 and 2124 = GCF of 2124 and 2122

Related Greatest Common Factor of 2122

Related Greatest Common Factor of 2124

Frequently Asked Questions on GCF of 2122 and 2124

1. What is the GCF of 2122 and 2124?

Answer: GCF of 2122 and 2124 is 2.

2. What are the Factors of 2122?

Answer: Factors of 2122 are 1, 2, 1061, 2122. There are 4 integers that are factors of 2122. The greatest factor of 2122 is 2122.

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 2122 and 2124?

Answer:

Greatest Common Factor of 2122 and 2124 = 2

Step 1: Find the prime factorization of 2122

2122 = 2 x 1061

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

Step 4: Therefore, the greatest common factor of 2122 and 2124 is 2