Greatest Common Factor of 247 and 249

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 247, 249 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 247 and 249 is 1.

GCF(247,249) = 1

GCF of 247 and 249

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

GCF of:
and

Greatest Common Factor of 247 and 249

GCF of 247 and 249 is 1

Prime Factorization of 247


13 247
19 19
1

Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:

247 = 131×191

Prime Factorization of 249


3 249
83 83
1

Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:

249 = 31×831

∴ So by taking common prime factors GCF of 247 and 249 is 1

Greatest Common Factor of 247 and 249 by matching factors method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors and prime factorization of 247 and 249. The biggest common factor number is the GCF number.
So the greatest common factor 247 and 249 is 1.

Also check out the Least Common Multiple of 247 and 249

Properties of GCF 247 and 249

(i) The GCF of 247 and 249 is associative

GCF of 247 and 249 = GCF of 249 and 247

Related Greatest Common Factor of 247

Related Greatest Common Factor of 249

Frequently Asked Questions on GCF of 247 and 249

1. What is the GCF of 247 and 249?

Answer: GCF of 247 and 249 is 1.

2. What are the Factors of 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

3. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

4. How to Find the GCF of 247 and 249?

Answer:

Greatest Common Factor of 247 and 249 = 1

Step 1: Find the prime factorization of 247

247 = 13 x 19

Step 2: Find the prime factorization of 249

249 = 3 x 83

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 247 and 249 is 1