Greatest Common Factor of 2272 and 2277

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, 2277 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2272 and 2277 is 1.

GCF(2272,2277) = 1

GCF of 2272 and 2277

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

GCF of:
and

Greatest Common Factor of 2272 and 2277

GCF of 2272 and 2277 is 1

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 2277


3 2277
3 759
11 253
23 23
1

Prime factors of 2277 are 3,11,23. Prime factorization of 2277 in exponential form is:

2277 = 32×111×231

∴ So by taking common prime factors GCF of 2272 and 2277 is 1

Greatest Common Factor of 2272 and 2277 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 2277

List of positive integer factors of 2277 that divides 2277 without a remainder.

1,3,9,11,23,33,69,99,207,253,759,2277

Greatest Common Factor

We found the factors and prime factorization of 2272 and 2277. The biggest common factor number is the GCF number.
So the greatest common factor 2272 and 2277 is 1.

Also check out the Least Common Multiple of 2272 and 2277

Properties of GCF 2272 and 2277

(i) The GCF of 2272 and 2277 is associative

GCF of 2272 and 2277 = GCF of 2277 and 2272

Related Greatest Common Factor of 2272

Related Greatest Common Factor of 2277

Frequently Asked Questions on GCF of 2272 and 2277

1. What is the GCF of 2272 and 2277?

Answer: GCF of 2272 and 2277 is 1.

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 2277?

Answer: Factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277. There are 12 integers that are factors of 2277. The greatest factor of 2277 is 2277.

4. How to Find the GCF of 2272 and 2277?

Answer:

Greatest Common Factor of 2272 and 2277 = 1

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 2277

2277 = 3 x 3 x 11 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2272 and 2277 is 1