Greatest Common Factor of 1254 and 1257

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 1254, 1257 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1254 and 1257 is 3.

GCF(1254,1257) = 3

GCF of 1254 and 1257

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

GCF of:
and

Greatest Common Factor of 1254 and 1257

GCF of 1254 and 1257 is 3

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

Prime Factorization of 1257


3 1257
419 419
1

Prime factors of 1257 are 3,419. Prime factorization of 1257 in exponential form is:

1257 = 31×4191

∴ So by taking common prime factors GCF of 1254 and 1257 is 3

Greatest Common Factor of 1254 and 1257 by matching factors method

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

Factors of 1257

List of positive integer factors of 1257 that divides 1257 without a remainder.

1,3,419,1257

Greatest Common Factor

We found the factors and prime factorization of 1254 and 1257. The biggest common factor number is the GCF number.
So the greatest common factor 1254 and 1257 is 3.

Also check out the Least Common Multiple of 1254 and 1257

Properties of GCF 1254 and 1257

(i) The GCF of 1254 and 1257 is associative

GCF of 1254 and 1257 = GCF of 1257 and 1254

Related Greatest Common Factor of 1254

Related Greatest Common Factor of 1257

Frequently Asked Questions on GCF of 1254 and 1257

1. What is the GCF of 1254 and 1257?

Answer: GCF of 1254 and 1257 is 3.

2. 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.

3. What are the Factors of 1257?

Answer: Factors of 1257 are 1, 3, 419, 1257. There are 4 integers that are factors of 1257. The greatest factor of 1257 is 1257.

4. How to Find the GCF of 1254 and 1257?

Answer:

Greatest Common Factor of 1254 and 1257 = 3

Step 1: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 1257

1257 = 3 x 419

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1254 and 1257 is 3