Greatest Common Factor of 1254 and 1259

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, 1259 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1254 and 1259 is 1.

GCF(1254,1259) = 1

GCF of 1254 and 1259

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

GCF of:
and

Greatest Common Factor of 1254 and 1259

GCF of 1254 and 1259 is 1

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 1259


1259 1259
1

Prime factors of 1259 are 1259. Prime factorization of 1259 in exponential form is:

1259 = 12591

∴ So by taking common prime factors GCF of 1254 and 1259 is 1

Greatest Common Factor of 1254 and 1259 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 1259

List of positive integer factors of 1259 that divides 1259 without a remainder.

1,1259

Greatest Common Factor

We found the factors and prime factorization of 1254 and 1259. The biggest common factor number is the GCF number.
So the greatest common factor 1254 and 1259 is 1.

Also check out the Least Common Multiple of 1254 and 1259

Properties of GCF 1254 and 1259

(i) The GCF of 1254 and 1259 is associative

GCF of 1254 and 1259 = GCF of 1259 and 1254

Related Greatest Common Factor of 1254

Related Greatest Common Factor of 1259

Frequently Asked Questions on GCF of 1254 and 1259

1. What is the GCF of 1254 and 1259?

Answer: GCF of 1254 and 1259 is 1.

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 1259?

Answer: Factors of 1259 are 1, 1259. There are 2 integers that are factors of 1259. The greatest factor of 1259 is 1259.

4. How to Find the GCF of 1254 and 1259?

Answer:

Greatest Common Factor of 1254 and 1259 = 1

Step 1: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 1259

1259 = 1259

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 1254 and 1259 is 1