Greatest Common Factor of 1264 and 1266

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 1264, 1266 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1264 and 1266 is 2.

GCF(1264,1266) = 2

GCF of 1264 and 1266

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

GCF of:
and

Greatest Common Factor of 1264 and 1266

GCF of 1264 and 1266 is 2

Prime Factorization of 1264


2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 1264 are 2,79. Prime factorization of 1264 in exponential form is:

1264 = 24×791

Prime Factorization of 1266


2 1266
3 633
211 211
1

Prime factors of 1266 are 2,3,211. Prime factorization of 1266 in exponential form is:

1266 = 21×31×2111

∴ So by taking common prime factors GCF of 1264 and 1266 is 2

Greatest Common Factor of 1264 and 1266 by matching factors method

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1,2,3,6,211,422,633,1266

Greatest Common Factor

We found the factors and prime factorization of 1264 and 1266. The biggest common factor number is the GCF number.
So the greatest common factor 1264 and 1266 is 2.

Also check out the Least Common Multiple of 1264 and 1266

Properties of GCF 1264 and 1266

(i) The GCF of 1264 and 1266 is associative

GCF of 1264 and 1266 = GCF of 1266 and 1264

Related Greatest Common Factor of 1264

Related Greatest Common Factor of 1266

Frequently Asked Questions on GCF of 1264 and 1266

1. What is the GCF of 1264 and 1266?

Answer: GCF of 1264 and 1266 is 2.

2. What are the Factors of 1264?

Answer: Factors of 1264 are 1, 2, 4, 8, 16, 79, 158, 316, 632, 1264. There are 10 integers that are factors of 1264. The greatest factor of 1264 is 1264.

3. What are the Factors of 1266?

Answer: Factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266. There are 8 integers that are factors of 1266. The greatest factor of 1266 is 1266.

4. How to Find the GCF of 1264 and 1266?

Answer:

Greatest Common Factor of 1264 and 1266 = 2

Step 1: Find the prime factorization of 1264

1264 = 2 x 2 x 2 x 2 x 79

Step 2: Find the prime factorization of 1266

1266 = 2 x 3 x 211

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 1264 and 1266 is 2