Greatest Common Factor of 9267 and 9272

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 9267, 9272 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9267 and 9272 is 1.

GCF(9267,9272) = 1

GCF of 9267 and 9272

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

GCF of:
and

Greatest Common Factor of 9267 and 9272

GCF of 9267 and 9272 is 1

Prime Factorization of 9267


3 9267
3089 3089
1

Prime factors of 9267 are 3,3089. Prime factorization of 9267 in exponential form is:

9267 = 31×30891

Prime Factorization of 9272


2 9272
2 4636
2 2318
19 1159
61 61
1

Prime factors of 9272 are 2,19,61. Prime factorization of 9272 in exponential form is:

9272 = 23×191×611

∴ So by taking common prime factors GCF of 9267 and 9272 is 1

Greatest Common Factor of 9267 and 9272 by matching factors method

Factors of 9267

List of positive integer factors of 9267 that divides 9267 without a remainder.

1,3,3089,9267

Factors of 9272

List of positive integer factors of 9272 that divides 9272 without a remainder.

1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272

Greatest Common Factor

We found the factors and prime factorization of 9267 and 9272. The biggest common factor number is the GCF number.
So the greatest common factor 9267 and 9272 is 1.

Also check out the Least Common Multiple of 9267 and 9272

Properties of GCF 9267 and 9272

(i) The GCF of 9267 and 9272 is associative

GCF of 9267 and 9272 = GCF of 9272 and 9267

Frequently Asked Questions on GCF of 9267 and 9272

1. What is the GCF of 9267 and 9272?

Answer: GCF of 9267 and 9272 is 1.

2. What are the Factors of 9267?

Answer: Factors of 9267 are 1, 3, 3089, 9267. There are 4 integers that are factors of 9267. The greatest factor of 9267 is 9267.

3. What are the Factors of 9272?

Answer: Factors of 9272 are 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272. There are 16 integers that are factors of 9272. The greatest factor of 9272 is 9272.

4. How to Find the GCF of 9267 and 9272?

Answer:

Greatest Common Factor of 9267 and 9272 = 1

Step 1: Find the prime factorization of 9267

9267 = 3 x 3089

Step 2: Find the prime factorization of 9272

9272 = 2 x 2 x 2 x 19 x 61

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 9267 and 9272 is 1