Greatest Common Factor of 9065 and 9072

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 9065, 9072 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9065 and 9072 is 7.

GCF(9065,9072) = 7

GCF of 9065 and 9072

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

GCF of:
and

Greatest Common Factor of 9065 and 9072

GCF of 9065 and 9072 is 7

Prime Factorization of 9065


5 9065
7 1813
7 259
37 37
1

Prime factors of 9065 are 5,7,37. Prime factorization of 9065 in exponential form is:

9065 = 51×72×371

Prime Factorization of 9072


2 9072
2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 9072 are 2,3,7. Prime factorization of 9072 in exponential form is:

9072 = 24×34×71

∴ So by taking common prime factors GCF of 9065 and 9072 is 7

Greatest Common Factor of 9065 and 9072 by matching factors method

Factors of 9065

List of positive integer factors of 9065 that divides 9065 without a remainder.

1,5,7,35,37,49,185,245,259,1295,1813,9065

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072

Greatest Common Factor

We found the factors and prime factorization of 9065 and 9072. The biggest common factor number is the GCF number.
So the greatest common factor 9065 and 9072 is 7.

Also check out the Least Common Multiple of 9065 and 9072

Properties of GCF 9065 and 9072

(i) The GCF of 9065 and 9072 is associative

GCF of 9065 and 9072 = GCF of 9072 and 9065

Related Greatest Common Factor of 9065

Related Greatest Common Factor of 9072

Frequently Asked Questions on GCF of 9065 and 9072

1. What is the GCF of 9065 and 9072?

Answer: GCF of 9065 and 9072 is 7.

2. What are the Factors of 9065?

Answer: Factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065. There are 12 integers that are factors of 9065. The greatest factor of 9065 is 9065.

3. What are the Factors of 9072?

Answer: Factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072. There are 50 integers that are factors of 9072. The greatest factor of 9072 is 9072.

4. How to Find the GCF of 9065 and 9072?

Answer:

Greatest Common Factor of 9065 and 9072 = 7

Step 1: Find the prime factorization of 9065

9065 = 5 x 7 x 7 x 37

Step 2: Find the prime factorization of 9072

9072 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9065 and 9072 is 7