Greatest Common Factor of 926 and 934

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 926, 934 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 926 and 934 is 2.

GCF(926,934) = 2

GCF of 926 and 934

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

GCF of:
and

Greatest Common Factor of 926 and 934

GCF of 926 and 934 is 2

Prime Factorization of 926


2 926
463 463
1

Prime factors of 926 are 2,463. Prime factorization of 926 in exponential form is:

926 = 21×4631

Prime Factorization of 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

∴ So by taking common prime factors GCF of 926 and 934 is 2

Greatest Common Factor of 926 and 934 by matching factors method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors and prime factorization of 926 and 934. The biggest common factor number is the GCF number.
So the greatest common factor 926 and 934 is 2.

Also check out the Least Common Multiple of 926 and 934

Properties of GCF 926 and 934

(i) The GCF of 926 and 934 is associative

GCF of 926 and 934 = GCF of 934 and 926

Related Greatest Common Factor of 926

Related Greatest Common Factor of 934

Frequently Asked Questions on GCF of 926 and 934

1. What is the GCF of 926 and 934?

Answer: GCF of 926 and 934 is 2.

2. What are the Factors of 926?

Answer: Factors of 926 are 1, 2, 463, 926. There are 4 integers that are factors of 926. The greatest factor of 926 is 926.

3. What are the Factors of 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

4. How to Find the GCF of 926 and 934?

Answer:

Greatest Common Factor of 926 and 934 = 2

Step 1: Find the prime factorization of 926

926 = 2 x 463

Step 2: Find the prime factorization of 934

934 = 2 x 467

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 926 and 934 is 2