Greatest Common Factor of 9272 and 9275

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 9272, 9275 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9272 and 9275 is 1.

GCF(9272,9275) = 1

GCF of 9272 and 9275

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

GCF of:
and

Greatest Common Factor of 9272 and 9275

GCF of 9272 and 9275 is 1

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

Prime Factorization of 9275


5 9275
5 1855
7 371
53 53
1

Prime factors of 9275 are 5,7,53. Prime factorization of 9275 in exponential form is:

9275 = 52×71×531

∴ So by taking common prime factors GCF of 9272 and 9275 is 1

Greatest Common Factor of 9272 and 9275 by matching factors method

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

Factors of 9275

List of positive integer factors of 9275 that divides 9275 without a remainder.

1,5,7,25,35,53,175,265,371,1325,1855,9275

Greatest Common Factor

We found the factors and prime factorization of 9272 and 9275. The biggest common factor number is the GCF number.
So the greatest common factor 9272 and 9275 is 1.

Also check out the Least Common Multiple of 9272 and 9275

Properties of GCF 9272 and 9275

(i) The GCF of 9272 and 9275 is associative

GCF of 9272 and 9275 = GCF of 9275 and 9272

Related Greatest Common Factor of 9272

Related Greatest Common Factor of 9275

Frequently Asked Questions on GCF of 9272 and 9275

1. What is the GCF of 9272 and 9275?

Answer: GCF of 9272 and 9275 is 1.

2. 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.

3. What are the Factors of 9275?

Answer: Factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275. There are 12 integers that are factors of 9275. The greatest factor of 9275 is 9275.

4. How to Find the GCF of 9272 and 9275?

Answer:

Greatest Common Factor of 9272 and 9275 = 1

Step 1: Find the prime factorization of 9272

9272 = 2 x 2 x 2 x 19 x 61

Step 2: Find the prime factorization of 9275

9275 = 5 x 5 x 7 x 53

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 9272 and 9275 is 1