Greatest Common Factor of 1262 and 1264

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 1262, 1264 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1262 and 1264 is 2.

GCF(1262,1264) = 2

GCF of 1262 and 1264

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

GCF of:
and

Greatest Common Factor of 1262 and 1264

GCF of 1262 and 1264 is 2

Prime Factorization of 1262


2 1262
631 631
1

Prime factors of 1262 are 2,631. Prime factorization of 1262 in exponential form is:

1262 = 21×6311

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

∴ So by taking common prime factors GCF of 1262 and 1264 is 2

Greatest Common Factor of 1262 and 1264 by matching factors method

Factors of 1262

List of positive integer factors of 1262 that divides 1262 without a remainder.

1,2,631,1262

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

Greatest Common Factor

We found the factors and prime factorization of 1262 and 1264. The biggest common factor number is the GCF number.
So the greatest common factor 1262 and 1264 is 2.

Also check out the Least Common Multiple of 1262 and 1264

Properties of GCF 1262 and 1264

(i) The GCF of 1262 and 1264 is associative

GCF of 1262 and 1264 = GCF of 1264 and 1262

Related Greatest Common Factor of 1262

Related Greatest Common Factor of 1264

Frequently Asked Questions on GCF of 1262 and 1264

1. What is the GCF of 1262 and 1264?

Answer: GCF of 1262 and 1264 is 2.

2. What are the Factors of 1262?

Answer: Factors of 1262 are 1, 2, 631, 1262. There are 4 integers that are factors of 1262. The greatest factor of 1262 is 1262.

3. 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.

4. How to Find the GCF of 1262 and 1264?

Answer:

Greatest Common Factor of 1262 and 1264 = 2

Step 1: Find the prime factorization of 1262

1262 = 2 x 631

Step 2: Find the prime factorization of 1264

1264 = 2 x 2 x 2 x 2 x 79

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 1262 and 1264 is 2