Greatest Common Factor of 2264 and 2272

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 2264, 2272 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2264 and 2272 is 8.

GCF(2264,2272) = 8

GCF of 2264 and 2272

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

GCF of:
and

Greatest Common Factor of 2264 and 2272

GCF of 2264 and 2272 is 8

Prime Factorization of 2264


2 2264
2 1132
2 566
283 283
1

Prime factors of 2264 are 2,283. Prime factorization of 2264 in exponential form is:

2264 = 23×2831

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

∴ So by taking common prime factors GCF of 2264 and 2272 is 8

Greatest Common Factor of 2264 and 2272 by matching factors method

Factors of 2264

List of positive integer factors of 2264 that divides 2264 without a remainder.

1,2,4,8,283,566,1132,2264

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

Greatest Common Factor

We found the factors and prime factorization of 2264 and 2272. The biggest common factor number is the GCF number.
So the greatest common factor 2264 and 2272 is 8.

Also check out the Least Common Multiple of 2264 and 2272

Properties of GCF 2264 and 2272

(i) The GCF of 2264 and 2272 is associative

GCF of 2264 and 2272 = GCF of 2272 and 2264

Related Greatest Common Factor of 2264

Related Greatest Common Factor of 2272

Frequently Asked Questions on GCF of 2264 and 2272

1. What is the GCF of 2264 and 2272?

Answer: GCF of 2264 and 2272 is 8.

2. What are the Factors of 2264?

Answer: Factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264. There are 8 integers that are factors of 2264. The greatest factor of 2264 is 2264.

3. 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.

4. How to Find the GCF of 2264 and 2272?

Answer:

Greatest Common Factor of 2264 and 2272 = 8

Step 1: Find the prime factorization of 2264

2264 = 2 x 2 x 2 x 283

Step 2: Find the prime factorization of 2272

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

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 2264 and 2272 is 8