Greatest Common Factor of 2116 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 2116, 2124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2116 and 2124 is 4.

GCF(2116,2124) = 4

GCF of 2116 and 2124

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

GCF of:
and

Greatest Common Factor of 2116 and 2124

GCF of 2116 and 2124 is 4

Prime Factorization of 2116


2 2116
2 1058
23 529
23 23
1

Prime factors of 2116 are 2,23. Prime factorization of 2116 in exponential form is:

2116 = 22×232

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 2116 and 2124 is 4

Greatest Common Factor of 2116 and 2124 by matching factors method

Factors of 2116

List of positive integer factors of 2116 that divides 2116 without a remainder.

1,2,4,23,46,92,529,1058,2116

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 2116 and 2124. The biggest common factor number is the GCF number.
So the greatest common factor 2116 and 2124 is 4.

Also check out the Least Common Multiple of 2116 and 2124

Properties of GCF 2116 and 2124

(i) The GCF of 2116 and 2124 is associative

GCF of 2116 and 2124 = GCF of 2124 and 2116

Related Greatest Common Factor of 2116

Related Greatest Common Factor of 2124

Frequently Asked Questions on GCF of 2116 and 2124

1. What is the GCF of 2116 and 2124?

Answer: GCF of 2116 and 2124 is 4.

2. What are the Factors of 2116?

Answer: Factors of 2116 are 1, 2, 4, 23, 46, 92, 529, 1058, 2116. There are 9 integers that are factors of 2116. The greatest factor of 2116 is 2116.

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 2116 and 2124?

Answer:

Greatest Common Factor of 2116 and 2124 = 4

Step 1: Find the prime factorization of 2116

2116 = 2 x 2 x 23 x 23

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 2 = 4

Step 4: Therefore, the greatest common factor of 2116 and 2124 is 4