Greatest Common Factor of 1260 and 1263

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 1260, 1263 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1260 and 1263 is 3.

GCF(1260,1263) = 3

GCF of 1260 and 1263

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

GCF of:
and

Greatest Common Factor of 1260 and 1263

GCF of 1260 and 1263 is 3

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

Prime Factorization of 1263


3 1263
421 421
1

Prime factors of 1263 are 3,421. Prime factorization of 1263 in exponential form is:

1263 = 31×4211

∴ So by taking common prime factors GCF of 1260 and 1263 is 3

Greatest Common Factor of 1260 and 1263 by matching factors method

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

Factors of 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1,3,421,1263

Greatest Common Factor

We found the factors and prime factorization of 1260 and 1263. The biggest common factor number is the GCF number.
So the greatest common factor 1260 and 1263 is 3.

Also check out the Least Common Multiple of 1260 and 1263

Properties of GCF 1260 and 1263

(i) The GCF of 1260 and 1263 is associative

GCF of 1260 and 1263 = GCF of 1263 and 1260

Related Greatest Common Factor of 1260

Related Greatest Common Factor of 1263

Frequently Asked Questions on GCF of 1260 and 1263

1. What is the GCF of 1260 and 1263?

Answer: GCF of 1260 and 1263 is 3.

2. 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.

3. What are the Factors of 1263?

Answer: Factors of 1263 are 1, 3, 421, 1263. There are 4 integers that are factors of 1263. The greatest factor of 1263 is 1263.

4. How to Find the GCF of 1260 and 1263?

Answer:

Greatest Common Factor of 1260 and 1263 = 3

Step 1: Find the prime factorization of 1260

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

Step 2: Find the prime factorization of 1263

1263 = 3 x 421

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 1260 and 1263 is 3