Greatest Common Factor of 1254 and 1260

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, 1260 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1254 and 1260 is 6.

GCF(1254,1260) = 6

GCF of 1254 and 1260

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

GCF of:
and

Greatest Common Factor of 1254 and 1260

GCF of 1254 and 1260 is 6

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 1260


2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 1260 are 2,3,5,7. Prime factorization of 1260 in exponential form is:

1260 = 22×32×51×71

∴ So by taking common prime factors GCF of 1254 and 1260 is 6

Greatest Common Factor of 1254 and 1260 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 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Greatest Common Factor

We found the factors and prime factorization of 1254 and 1260. The biggest common factor number is the GCF number.
So the greatest common factor 1254 and 1260 is 6.

Also check out the Least Common Multiple of 1254 and 1260

Properties of GCF 1254 and 1260

(i) The GCF of 1254 and 1260 is associative

GCF of 1254 and 1260 = GCF of 1260 and 1254

Related Greatest Common Factor of 1254

Related Greatest Common Factor of 1260

Frequently Asked Questions on GCF of 1254 and 1260

1. What is the GCF of 1254 and 1260?

Answer: GCF of 1254 and 1260 is 6.

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 1260?

Answer: Factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. There are 36 integers that are factors of 1260. The greatest factor of 1260 is 1260.

4. How to Find the GCF of 1254 and 1260?

Answer:

Greatest Common Factor of 1254 and 1260 = 6

Step 1: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 1260

1260 = 2 x 2 x 3 x 3 x 5 x 7

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1254 and 1260 is 6