Greatest Common Factor of 2272 and 2278

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, 2278 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2272 and 2278 is 2.

GCF(2272,2278) = 2

GCF of 2272 and 2278

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

GCF of:
and

Greatest Common Factor of 2272 and 2278

GCF of 2272 and 2278 is 2

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 2278


2 2278
17 1139
67 67
1

Prime factors of 2278 are 2,17,67. Prime factorization of 2278 in exponential form is:

2278 = 21×171×671

∴ So by taking common prime factors GCF of 2272 and 2278 is 2

Greatest Common Factor of 2272 and 2278 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 2278

List of positive integer factors of 2278 that divides 2278 without a remainder.

1,2,17,34,67,134,1139,2278

Greatest Common Factor

We found the factors and prime factorization of 2272 and 2278. The biggest common factor number is the GCF number.
So the greatest common factor 2272 and 2278 is 2.

Also check out the Least Common Multiple of 2272 and 2278

Properties of GCF 2272 and 2278

(i) The GCF of 2272 and 2278 is associative

GCF of 2272 and 2278 = GCF of 2278 and 2272

Related Greatest Common Factor of 2272

Related Greatest Common Factor of 2278

Frequently Asked Questions on GCF of 2272 and 2278

1. What is the GCF of 2272 and 2278?

Answer: GCF of 2272 and 2278 is 2.

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 2278?

Answer: Factors of 2278 are 1, 2, 17, 34, 67, 134, 1139, 2278. There are 8 integers that are factors of 2278. The greatest factor of 2278 is 2278.

4. How to Find the GCF of 2272 and 2278?

Answer:

Greatest Common Factor of 2272 and 2278 = 2

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 2278

2278 = 2 x 17 x 67

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2272 and 2278 is 2