Greatest Common Factor of 9072 and 9073

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 9072, 9073 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9072 and 9073 is 1.

GCF(9072,9073) = 1

GCF of 9072 and 9073

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

GCF of:
and

Greatest Common Factor of 9072 and 9073

GCF of 9072 and 9073 is 1

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

Prime Factorization of 9073


43 9073
211 211
1

Prime factors of 9073 are 43,211. Prime factorization of 9073 in exponential form is:

9073 = 431×2111

∴ So by taking common prime factors GCF of 9072 and 9073 is 1

Greatest Common Factor of 9072 and 9073 by matching factors method

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

Factors of 9073

List of positive integer factors of 9073 that divides 9073 without a remainder.

1,43,211,9073

Greatest Common Factor

We found the factors and prime factorization of 9072 and 9073. The biggest common factor number is the GCF number.
So the greatest common factor 9072 and 9073 is 1.

Also check out the Least Common Multiple of 9072 and 9073

Properties of GCF 9072 and 9073

(i) The GCF of 9072 and 9073 is associative

GCF of 9072 and 9073 = GCF of 9073 and 9072

Related Greatest Common Factor of 9072

Related Greatest Common Factor of 9073

Frequently Asked Questions on GCF of 9072 and 9073

1. What is the GCF of 9072 and 9073?

Answer: GCF of 9072 and 9073 is 1.

2. 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.

3. What are the Factors of 9073?

Answer: Factors of 9073 are 1, 43, 211, 9073. There are 4 integers that are factors of 9073. The greatest factor of 9073 is 9073.

4. How to Find the GCF of 9072 and 9073?

Answer:

Greatest Common Factor of 9072 and 9073 = 1

Step 1: 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 2: Find the prime factorization of 9073

9073 = 43 x 211

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 9072 and 9073 is 1