Greatest Common Factor of 1268 and 1274

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 1268, 1274 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1268 and 1274 is 2.

GCF(1268,1274) = 2

GCF of 1268 and 1274

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

GCF of:
and

Greatest Common Factor of 1268 and 1274

GCF of 1268 and 1274 is 2

Prime Factorization of 1268


2 1268
2 634
317 317
1

Prime factors of 1268 are 2,317. Prime factorization of 1268 in exponential form is:

1268 = 22×3171

Prime Factorization of 1274


2 1274
7 637
7 91
13 13
1

Prime factors of 1274 are 2,7,13. Prime factorization of 1274 in exponential form is:

1274 = 21×72×131

∴ So by taking common prime factors GCF of 1268 and 1274 is 2

Greatest Common Factor of 1268 and 1274 by matching factors method

Factors of 1268

List of positive integer factors of 1268 that divides 1268 without a remainder.

1,2,4,317,634,1268

Factors of 1274

List of positive integer factors of 1274 that divides 1274 without a remainder.

1,2,7,13,14,26,49,91,98,182,637,1274

Greatest Common Factor

We found the factors and prime factorization of 1268 and 1274. The biggest common factor number is the GCF number.
So the greatest common factor 1268 and 1274 is 2.

Also check out the Least Common Multiple of 1268 and 1274

Properties of GCF 1268 and 1274

(i) The GCF of 1268 and 1274 is associative

GCF of 1268 and 1274 = GCF of 1274 and 1268

Related Greatest Common Factor of 1268

Related Greatest Common Factor of 1274

Frequently Asked Questions on GCF of 1268 and 1274

1. What is the GCF of 1268 and 1274?

Answer: GCF of 1268 and 1274 is 2.

2. What are the Factors of 1268?

Answer: Factors of 1268 are 1, 2, 4, 317, 634, 1268. There are 6 integers that are factors of 1268. The greatest factor of 1268 is 1268.

3. What are the Factors of 1274?

Answer: Factors of 1274 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274. There are 12 integers that are factors of 1274. The greatest factor of 1274 is 1274.

4. How to Find the GCF of 1268 and 1274?

Answer:

Greatest Common Factor of 1268 and 1274 = 2

Step 1: Find the prime factorization of 1268

1268 = 2 x 2 x 317

Step 2: Find the prime factorization of 1274

1274 = 2 x 7 x 7 x 13

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 1268 and 1274 is 2