Greatest Common Factor of 1264 and 1267

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, 1267 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1264 and 1267 is 1.

GCF(1264,1267) = 1

GCF of 1264 and 1267

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

GCF of:
and

Greatest Common Factor of 1264 and 1267

GCF of 1264 and 1267 is 1

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 1267


7 1267
181 181
1

Prime factors of 1267 are 7,181. Prime factorization of 1267 in exponential form is:

1267 = 71×1811

∴ So by taking common prime factors GCF of 1264 and 1267 is 1

Greatest Common Factor of 1264 and 1267 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 1267

List of positive integer factors of 1267 that divides 1267 without a remainder.

1,7,181,1267

Greatest Common Factor

We found the factors and prime factorization of 1264 and 1267. The biggest common factor number is the GCF number.
So the greatest common factor 1264 and 1267 is 1.

Also check out the Least Common Multiple of 1264 and 1267

Properties of GCF 1264 and 1267

(i) The GCF of 1264 and 1267 is associative

GCF of 1264 and 1267 = GCF of 1267 and 1264

Related Greatest Common Factor of 1264

Related Greatest Common Factor of 1267

Frequently Asked Questions on GCF of 1264 and 1267

1. What is the GCF of 1264 and 1267?

Answer: GCF of 1264 and 1267 is 1.

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 1267?

Answer: Factors of 1267 are 1, 7, 181, 1267. There are 4 integers that are factors of 1267. The greatest factor of 1267 is 1267.

4. How to Find the GCF of 1264 and 1267?

Answer:

Greatest Common Factor of 1264 and 1267 = 1

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 1267

1267 = 7 x 181

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1264 and 1267 is 1