Greatest Common Factor of 1244 and 1249

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 1244, 1249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1244 and 1249 is 1.

GCF(1244,1249) = 1

GCF of 1244 and 1249

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

GCF of:
and

Greatest Common Factor of 1244 and 1249

GCF of 1244 and 1249 is 1

Prime Factorization of 1244


2 1244
2 622
311 311
1

Prime factors of 1244 are 2,311. Prime factorization of 1244 in exponential form is:

1244 = 22×3111

Prime Factorization of 1249


1249 1249
1

Prime factors of 1249 are 1249. Prime factorization of 1249 in exponential form is:

1249 = 12491

∴ So by taking common prime factors GCF of 1244 and 1249 is 1

Greatest Common Factor of 1244 and 1249 by matching factors method

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1,2,4,311,622,1244

Factors of 1249

List of positive integer factors of 1249 that divides 1249 without a remainder.

1,1249

Greatest Common Factor

We found the factors and prime factorization of 1244 and 1249. The biggest common factor number is the GCF number.
So the greatest common factor 1244 and 1249 is 1.

Also check out the Least Common Multiple of 1244 and 1249

Properties of GCF 1244 and 1249

(i) The GCF of 1244 and 1249 is associative

GCF of 1244 and 1249 = GCF of 1249 and 1244

Related Greatest Common Factor of 1244

Related Greatest Common Factor of 1249

Frequently Asked Questions on GCF of 1244 and 1249

1. What is the GCF of 1244 and 1249?

Answer: GCF of 1244 and 1249 is 1.

2. What are the Factors of 1244?

Answer: Factors of 1244 are 1, 2, 4, 311, 622, 1244. There are 6 integers that are factors of 1244. The greatest factor of 1244 is 1244.

3. What are the Factors of 1249?

Answer: Factors of 1249 are 1, 1249. There are 2 integers that are factors of 1249. The greatest factor of 1249 is 1249.

4. How to Find the GCF of 1244 and 1249?

Answer:

Greatest Common Factor of 1244 and 1249 = 1

Step 1: Find the prime factorization of 1244

1244 = 2 x 2 x 311

Step 2: Find the prime factorization of 1249

1249 = 1249

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 1244 and 1249 is 1