Greatest Common Factor of 1247 and 1254

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 1247, 1254 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1247 and 1254 is 1.

GCF(1247,1254) = 1

GCF of 1247 and 1254

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

GCF of:
and

Greatest Common Factor of 1247 and 1254

GCF of 1247 and 1254 is 1

Prime Factorization of 1247


29 1247
43 43
1

Prime factors of 1247 are 29,43. Prime factorization of 1247 in exponential form is:

1247 = 291×431

Prime Factorization of 1254


2 1254
3 627
11 209
19 19
1

Prime factors of 1254 are 2,3,11,19. Prime factorization of 1254 in exponential form is:

1254 = 21×31×111×191

∴ So by taking common prime factors GCF of 1247 and 1254 is 1

Greatest Common Factor of 1247 and 1254 by matching factors method

Factors of 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1,29,43,1247

Factors of 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254

Greatest Common Factor

We found the factors and prime factorization of 1247 and 1254. The biggest common factor number is the GCF number.
So the greatest common factor 1247 and 1254 is 1.

Also check out the Least Common Multiple of 1247 and 1254

Properties of GCF 1247 and 1254

(i) The GCF of 1247 and 1254 is associative

GCF of 1247 and 1254 = GCF of 1254 and 1247

Related Greatest Common Factor of 1247

Related Greatest Common Factor of 1254

Frequently Asked Questions on GCF of 1247 and 1254

1. What is the GCF of 1247 and 1254?

Answer: GCF of 1247 and 1254 is 1.

2. What are the Factors of 1247?

Answer: Factors of 1247 are 1, 29, 43, 1247. There are 4 integers that are factors of 1247. The greatest factor of 1247 is 1247.

3. What are the Factors of 1254?

Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.

4. How to Find the GCF of 1247 and 1254?

Answer:

Greatest Common Factor of 1247 and 1254 = 1

Step 1: Find the prime factorization of 1247

1247 = 29 x 43

Step 2: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

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 1247 and 1254 is 1