Greatest Common Factor of 9274 and 9276

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 9274, 9276 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9274 and 9276 is 2.

GCF(9274,9276) = 2

GCF of 9274 and 9276

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

GCF of:
and

Greatest Common Factor of 9274 and 9276

GCF of 9274 and 9276 is 2

Prime Factorization of 9274


2 9274
4637 4637
1

Prime factors of 9274 are 2,4637. Prime factorization of 9274 in exponential form is:

9274 = 21×46371

Prime Factorization of 9276


2 9276
2 4638
3 2319
773 773
1

Prime factors of 9276 are 2,3,773. Prime factorization of 9276 in exponential form is:

9276 = 22×31×7731

∴ So by taking common prime factors GCF of 9274 and 9276 is 2

Greatest Common Factor of 9274 and 9276 by matching factors method

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1,2,4637,9274

Factors of 9276

List of positive integer factors of 9276 that divides 9276 without a remainder.

1,2,3,4,6,12,773,1546,2319,3092,4638,9276

Greatest Common Factor

We found the factors and prime factorization of 9274 and 9276. The biggest common factor number is the GCF number.
So the greatest common factor 9274 and 9276 is 2.

Also check out the Least Common Multiple of 9274 and 9276

Properties of GCF 9274 and 9276

(i) The GCF of 9274 and 9276 is associative

GCF of 9274 and 9276 = GCF of 9276 and 9274

Related Greatest Common Factor of 9274

Related Greatest Common Factor of 9276

Frequently Asked Questions on GCF of 9274 and 9276

1. What is the GCF of 9274 and 9276?

Answer: GCF of 9274 and 9276 is 2.

2. What are the Factors of 9274?

Answer: Factors of 9274 are 1, 2, 4637, 9274. There are 4 integers that are factors of 9274. The greatest factor of 9274 is 9274.

3. What are the Factors of 9276?

Answer: Factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276. There are 12 integers that are factors of 9276. The greatest factor of 9276 is 9276.

4. How to Find the GCF of 9274 and 9276?

Answer:

Greatest Common Factor of 9274 and 9276 = 2

Step 1: Find the prime factorization of 9274

9274 = 2 x 4637

Step 2: Find the prime factorization of 9276

9276 = 2 x 2 x 3 x 773

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 9274 and 9276 is 2