Greatest Common Factor of 1254 and 1258

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, 1258 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1254 and 1258 is 2.

GCF(1254,1258) = 2

GCF of 1254 and 1258

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

GCF of:
and

Greatest Common Factor of 1254 and 1258

GCF of 1254 and 1258 is 2

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 1258


2 1258
17 629
37 37
1

Prime factors of 1258 are 2,17,37. Prime factorization of 1258 in exponential form is:

1258 = 21×171×371

∴ So by taking common prime factors GCF of 1254 and 1258 is 2

Greatest Common Factor of 1254 and 1258 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 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1,2,17,34,37,74,629,1258

Greatest Common Factor

We found the factors and prime factorization of 1254 and 1258. The biggest common factor number is the GCF number.
So the greatest common factor 1254 and 1258 is 2.

Also check out the Least Common Multiple of 1254 and 1258

Properties of GCF 1254 and 1258

(i) The GCF of 1254 and 1258 is associative

GCF of 1254 and 1258 = GCF of 1258 and 1254

Related Greatest Common Factor of 1254

Related Greatest Common Factor of 1258

Frequently Asked Questions on GCF of 1254 and 1258

1. What is the GCF of 1254 and 1258?

Answer: GCF of 1254 and 1258 is 2.

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 1258?

Answer: Factors of 1258 are 1, 2, 17, 34, 37, 74, 629, 1258. There are 8 integers that are factors of 1258. The greatest factor of 1258 is 1258.

4. How to Find the GCF of 1254 and 1258?

Answer:

Greatest Common Factor of 1254 and 1258 = 2

Step 1: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 1258

1258 = 2 x 17 x 37

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1254 and 1258 is 2