Greatest Common Factor of 1234 and 1242

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 1234, 1242 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1234 and 1242 is 2.

GCF(1234,1242) = 2

GCF of 1234 and 1242

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

GCF of:
and

Greatest Common Factor of 1234 and 1242

GCF of 1234 and 1242 is 2

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

Prime Factorization of 1242


2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 1242 are 2,3,23. Prime factorization of 1242 in exponential form is:

1242 = 21×33×231

∴ So by taking common prime factors GCF of 1234 and 1242 is 2

Greatest Common Factor of 1234 and 1242 by matching factors method

Factors of 1234

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

1,2,617,1234

Factors of 1242

List of positive integer factors of 1242 that divides 1242 without a remainder.

1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242

Greatest Common Factor

We found the factors and prime factorization of 1234 and 1242. The biggest common factor number is the GCF number.
So the greatest common factor 1234 and 1242 is 2.

Also check out the Least Common Multiple of 1234 and 1242

Properties of GCF 1234 and 1242

(i) The GCF of 1234 and 1242 is associative

GCF of 1234 and 1242 = GCF of 1242 and 1234

Related Greatest Common Factor of 1234

Related Greatest Common Factor of 1242

Frequently Asked Questions on GCF of 1234 and 1242

1. What is the GCF of 1234 and 1242?

Answer: GCF of 1234 and 1242 is 2.

2. 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.

3. What are the Factors of 1242?

Answer: Factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242. There are 16 integers that are factors of 1242. The greatest factor of 1242 is 1242.

4. How to Find the GCF of 1234 and 1242?

Answer:

Greatest Common Factor of 1234 and 1242 = 2

Step 1: Find the prime factorization of 1234

1234 = 2 x 617

Step 2: Find the prime factorization of 1242

1242 = 2 x 3 x 3 x 3 x 23

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 1234 and 1242 is 2