Greatest Common Factor of 2272 and 2276

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 2272, 2276 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2272 and 2276 is 4.

GCF(2272,2276) = 4

GCF of 2272 and 2276

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

GCF of:
and

Greatest Common Factor of 2272 and 2276

GCF of 2272 and 2276 is 4

Prime Factorization of 2272


2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 2272 are 2,71. Prime factorization of 2272 in exponential form is:

2272 = 25×711

Prime Factorization of 2276


2 2276
2 1138
569 569
1

Prime factors of 2276 are 2,569. Prime factorization of 2276 in exponential form is:

2276 = 22×5691

∴ So by taking common prime factors GCF of 2272 and 2276 is 4

Greatest Common Factor of 2272 and 2276 by matching factors method

Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1,2,4,8,16,32,71,142,284,568,1136,2272

Factors of 2276

List of positive integer factors of 2276 that divides 2276 without a remainder.

1,2,4,569,1138,2276

Greatest Common Factor

We found the factors and prime factorization of 2272 and 2276. The biggest common factor number is the GCF number.
So the greatest common factor 2272 and 2276 is 4.

Also check out the Least Common Multiple of 2272 and 2276

Properties of GCF 2272 and 2276

(i) The GCF of 2272 and 2276 is associative

GCF of 2272 and 2276 = GCF of 2276 and 2272

Related Greatest Common Factor of 2272

Related Greatest Common Factor of 2276

Frequently Asked Questions on GCF of 2272 and 2276

1. What is the GCF of 2272 and 2276?

Answer: GCF of 2272 and 2276 is 4.

2. What are the Factors of 2272?

Answer: Factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272. There are 12 integers that are factors of 2272. The greatest factor of 2272 is 2272.

3. What are the Factors of 2276?

Answer: Factors of 2276 are 1, 2, 4, 569, 1138, 2276. There are 6 integers that are factors of 2276. The greatest factor of 2276 is 2276.

4. How to Find the GCF of 2272 and 2276?

Answer:

Greatest Common Factor of 2272 and 2276 = 4

Step 1: Find the prime factorization of 2272

2272 = 2 x 2 x 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 2276

2276 = 2 x 2 x 569

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 2272 and 2276 is 4