Greatest Common Factor of 2250 and 2256

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 2250, 2256 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2250 and 2256 is 6.

GCF(2250,2256) = 6

GCF of 2250 and 2256

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

GCF of:
and

Greatest Common Factor of 2250 and 2256

GCF of 2250 and 2256 is 6

Prime Factorization of 2250


2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 2250 are 2,3,5. Prime factorization of 2250 in exponential form is:

2250 = 21×32×53

Prime Factorization of 2256


2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 2256 are 2,3,47. Prime factorization of 2256 in exponential form is:

2256 = 24×31×471

∴ So by taking common prime factors GCF of 2250 and 2256 is 6

Greatest Common Factor of 2250 and 2256 by matching factors method

Factors of 2250

List of positive integer factors of 2250 that divides 2250 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250

Factors of 2256

List of positive integer factors of 2256 that divides 2256 without a remainder.

1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256

Greatest Common Factor

We found the factors and prime factorization of 2250 and 2256. The biggest common factor number is the GCF number.
So the greatest common factor 2250 and 2256 is 6.

Also check out the Least Common Multiple of 2250 and 2256

Properties of GCF 2250 and 2256

(i) The GCF of 2250 and 2256 is associative

GCF of 2250 and 2256 = GCF of 2256 and 2250

Related Greatest Common Factor of 2250

Related Greatest Common Factor of 2256

Frequently Asked Questions on GCF of 2250 and 2256

1. What is the GCF of 2250 and 2256?

Answer: GCF of 2250 and 2256 is 6.

2. What are the Factors of 2250?

Answer: Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. There are 24 integers that are factors of 2250. The greatest factor of 2250 is 2250.

3. What are the Factors of 2256?

Answer: Factors of 2256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 47, 48, 94, 141, 188, 282, 376, 564, 752, 1128, 2256. There are 20 integers that are factors of 2256. The greatest factor of 2256 is 2256.

4. How to Find the GCF of 2250 and 2256?

Answer:

Greatest Common Factor of 2250 and 2256 = 6

Step 1: Find the prime factorization of 2250

2250 = 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 2256

2256 = 2 x 2 x 2 x 2 x 3 x 47

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2250 and 2256 is 6