Greatest Common Factor of 1228 and 1234

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 1228, 1234 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1228 and 1234 is 2.

GCF(1228,1234) = 2

GCF of 1228 and 1234

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

GCF of:
and

Greatest Common Factor of 1228 and 1234

GCF of 1228 and 1234 is 2

Prime Factorization of 1228


2 1228
2 614
307 307
1

Prime factors of 1228 are 2,307. Prime factorization of 1228 in exponential form is:

1228 = 22×3071

Prime Factorization of 1234


2 1234
617 617
1

Prime factors of 1234 are 2,617. Prime factorization of 1234 in exponential form is:

1234 = 21×6171

∴ So by taking common prime factors GCF of 1228 and 1234 is 2

Greatest Common Factor of 1228 and 1234 by matching factors method

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1,2,4,307,614,1228

Factors of 1234

List of positive integer factors of 1234 that divides 1234 without a remainder.

1,2,617,1234

Greatest Common Factor

We found the factors and prime factorization of 1228 and 1234. The biggest common factor number is the GCF number.
So the greatest common factor 1228 and 1234 is 2.

Also check out the Least Common Multiple of 1228 and 1234

Properties of GCF 1228 and 1234

(i) The GCF of 1228 and 1234 is associative

GCF of 1228 and 1234 = GCF of 1234 and 1228

Related Greatest Common Factor of 1228

Related Greatest Common Factor of 1234

Frequently Asked Questions on GCF of 1228 and 1234

1. What is the GCF of 1228 and 1234?

Answer: GCF of 1228 and 1234 is 2.

2. What are the Factors of 1228?

Answer: Factors of 1228 are 1, 2, 4, 307, 614, 1228. There are 6 integers that are factors of 1228. The greatest factor of 1228 is 1228.

3. What are the Factors of 1234?

Answer: Factors of 1234 are 1, 2, 617, 1234. There are 4 integers that are factors of 1234. The greatest factor of 1234 is 1234.

4. How to Find the GCF of 1228 and 1234?

Answer:

Greatest Common Factor of 1228 and 1234 = 2

Step 1: Find the prime factorization of 1228

1228 = 2 x 2 x 307

Step 2: Find the prime factorization of 1234

1234 = 2 x 617

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 1228 and 1234 is 2