Greatest Common Factor of 4228 and 4235

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 4228, 4235 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4228 and 4235 is 7.

GCF(4228,4235) = 7

GCF of 4228 and 4235

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

GCF of:
and

Greatest Common Factor of 4228 and 4235

GCF of 4228 and 4235 is 7

Prime Factorization of 4228


2 4228
2 2114
7 1057
151 151
1

Prime factors of 4228 are 2,7,151. Prime factorization of 4228 in exponential form is:

4228 = 22×71×1511

Prime Factorization of 4235


5 4235
7 847
11 121
11 11
1

Prime factors of 4235 are 5,7,11. Prime factorization of 4235 in exponential form is:

4235 = 51×71×112

∴ So by taking common prime factors GCF of 4228 and 4235 is 7

Greatest Common Factor of 4228 and 4235 by matching factors method

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1,2,4,7,14,28,151,302,604,1057,2114,4228

Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1,5,7,11,35,55,77,121,385,605,847,4235

Greatest Common Factor

We found the factors and prime factorization of 4228 and 4235. The biggest common factor number is the GCF number.
So the greatest common factor 4228 and 4235 is 7.

Also check out the Least Common Multiple of 4228 and 4235

Properties of GCF 4228 and 4235

(i) The GCF of 4228 and 4235 is associative

GCF of 4228 and 4235 = GCF of 4235 and 4228

Related Greatest Common Factor of 4228

Related Greatest Common Factor of 4235

Frequently Asked Questions on GCF of 4228 and 4235

1. What is the GCF of 4228 and 4235?

Answer: GCF of 4228 and 4235 is 7.

2. What are the Factors of 4228?

Answer: Factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228. There are 12 integers that are factors of 4228. The greatest factor of 4228 is 4228.

3. What are the Factors of 4235?

Answer: Factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235. There are 12 integers that are factors of 4235. The greatest factor of 4235 is 4235.

4. How to Find the GCF of 4228 and 4235?

Answer:

Greatest Common Factor of 4228 and 4235 = 7

Step 1: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 4235

4235 = 5 x 7 x 11 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4228 and 4235 is 7