Greatest Common Factor of 9072 and 9079

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, 9079 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9072 and 9079 is 7.

GCF(9072,9079) = 7

GCF of 9072 and 9079

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

GCF of:
and

Greatest Common Factor of 9072 and 9079

GCF of 9072 and 9079 is 7

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 9079


7 9079
1297 1297
1

Prime factors of 9079 are 7,1297. Prime factorization of 9079 in exponential form is:

9079 = 71×12971

∴ So by taking common prime factors GCF of 9072 and 9079 is 7

Greatest Common Factor of 9072 and 9079 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 9079

List of positive integer factors of 9079 that divides 9079 without a remainder.

1,7,1297,9079

Greatest Common Factor

We found the factors and prime factorization of 9072 and 9079. The biggest common factor number is the GCF number.
So the greatest common factor 9072 and 9079 is 7.

Also check out the Least Common Multiple of 9072 and 9079

Properties of GCF 9072 and 9079

(i) The GCF of 9072 and 9079 is associative

GCF of 9072 and 9079 = GCF of 9079 and 9072

Related Greatest Common Factor of 9072

Related Greatest Common Factor of 9079

Frequently Asked Questions on GCF of 9072 and 9079

1. What is the GCF of 9072 and 9079?

Answer: GCF of 9072 and 9079 is 7.

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 9079?

Answer: Factors of 9079 are 1, 7, 1297, 9079. There are 4 integers that are factors of 9079. The greatest factor of 9079 is 9079.

4. How to Find the GCF of 9072 and 9079?

Answer:

Greatest Common Factor of 9072 and 9079 = 7

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 9079

9079 = 7 x 1297

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 9072 and 9079 is 7