Greatest Common Factor of 1234 and 1241

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, 1241 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1234 and 1241 is 1.

GCF(1234,1241) = 1

GCF of 1234 and 1241

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

GCF of:
and

Greatest Common Factor of 1234 and 1241

GCF of 1234 and 1241 is 1

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 1241


17 1241
73 73
1

Prime factors of 1241 are 17,73. Prime factorization of 1241 in exponential form is:

1241 = 171×731

∴ So by taking common prime factors GCF of 1234 and 1241 is 1

Greatest Common Factor of 1234 and 1241 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 1241

List of positive integer factors of 1241 that divides 1241 without a remainder.

1,17,73,1241

Greatest Common Factor

We found the factors and prime factorization of 1234 and 1241. The biggest common factor number is the GCF number.
So the greatest common factor 1234 and 1241 is 1.

Also check out the Least Common Multiple of 1234 and 1241

Properties of GCF 1234 and 1241

(i) The GCF of 1234 and 1241 is associative

GCF of 1234 and 1241 = GCF of 1241 and 1234

Related Greatest Common Factor of 1234

Related Greatest Common Factor of 1241

Frequently Asked Questions on GCF of 1234 and 1241

1. What is the GCF of 1234 and 1241?

Answer: GCF of 1234 and 1241 is 1.

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 1241?

Answer: Factors of 1241 are 1, 17, 73, 1241. There are 4 integers that are factors of 1241. The greatest factor of 1241 is 1241.

4. How to Find the GCF of 1234 and 1241?

Answer:

Greatest Common Factor of 1234 and 1241 = 1

Step 1: Find the prime factorization of 1234

1234 = 2 x 617

Step 2: Find the prime factorization of 1241

1241 = 17 x 73

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1234 and 1241 is 1