Greatest Common Factor of 9272 and 9280

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, 9280 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9272 and 9280 is 8.

GCF(9272,9280) = 8

GCF of 9272 and 9280

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

GCF of:
and

Greatest Common Factor of 9272 and 9280

GCF of 9272 and 9280 is 8

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 9280


2 9280
2 4640
2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 9280 are 2,5,29. Prime factorization of 9280 in exponential form is:

9280 = 26×51×291

∴ So by taking common prime factors GCF of 9272 and 9280 is 8

Greatest Common Factor of 9272 and 9280 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 9280

List of positive integer factors of 9280 that divides 9280 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280

Greatest Common Factor

We found the factors and prime factorization of 9272 and 9280. The biggest common factor number is the GCF number.
So the greatest common factor 9272 and 9280 is 8.

Also check out the Least Common Multiple of 9272 and 9280

Properties of GCF 9272 and 9280

(i) The GCF of 9272 and 9280 is associative

GCF of 9272 and 9280 = GCF of 9280 and 9272

Related Greatest Common Factor of 9272

Related Greatest Common Factor of 9280

Frequently Asked Questions on GCF of 9272 and 9280

1. What is the GCF of 9272 and 9280?

Answer: GCF of 9272 and 9280 is 8.

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 9280?

Answer: Factors of 9280 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280. There are 28 integers that are factors of 9280. The greatest factor of 9280 is 9280.

4. How to Find the GCF of 9272 and 9280?

Answer:

Greatest Common Factor of 9272 and 9280 = 8

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 9280

9280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9272 and 9280 is 8