Greatest Common Factor of 2144 and 2152

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 2144, 2152 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2144 and 2152 is 8.

GCF(2144,2152) = 8

GCF of 2144 and 2152

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

GCF of:
and

Greatest Common Factor of 2144 and 2152

GCF of 2144 and 2152 is 8

Prime Factorization of 2144


2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 2144 are 2,67. Prime factorization of 2144 in exponential form is:

2144 = 25×671

Prime Factorization of 2152


2 2152
2 1076
2 538
269 269
1

Prime factors of 2152 are 2,269. Prime factorization of 2152 in exponential form is:

2152 = 23×2691

∴ So by taking common prime factors GCF of 2144 and 2152 is 8

Greatest Common Factor of 2144 and 2152 by matching factors method

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1,2,4,8,16,32,67,134,268,536,1072,2144

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1,2,4,8,269,538,1076,2152

Greatest Common Factor

We found the factors and prime factorization of 2144 and 2152. The biggest common factor number is the GCF number.
So the greatest common factor 2144 and 2152 is 8.

Also check out the Least Common Multiple of 2144 and 2152

Properties of GCF 2144 and 2152

(i) The GCF of 2144 and 2152 is associative

GCF of 2144 and 2152 = GCF of 2152 and 2144

Related Greatest Common Factor of 2144

Related Greatest Common Factor of 2152

Frequently Asked Questions on GCF of 2144 and 2152

1. What is the GCF of 2144 and 2152?

Answer: GCF of 2144 and 2152 is 8.

2. What are the Factors of 2144?

Answer: Factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144. There are 12 integers that are factors of 2144. The greatest factor of 2144 is 2144.

3. What are the Factors of 2152?

Answer: Factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152. There are 8 integers that are factors of 2152. The greatest factor of 2152 is 2152.

4. How to Find the GCF of 2144 and 2152?

Answer:

Greatest Common Factor of 2144 and 2152 = 8

Step 1: Find the prime factorization of 2144

2144 = 2 x 2 x 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 2152

2152 = 2 x 2 x 2 x 269

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2144 and 2152 is 8