Greatest Common Factor of 9044 and 9051

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 9044, 9051 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9044 and 9051 is 7.

GCF(9044,9051) = 7

GCF of 9044 and 9051

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

GCF of:
and

Greatest Common Factor of 9044 and 9051

GCF of 9044 and 9051 is 7

Prime Factorization of 9044


2 9044
2 4522
7 2261
17 323
19 19
1

Prime factors of 9044 are 2,7,17,19. Prime factorization of 9044 in exponential form is:

9044 = 22×71×171×191

Prime Factorization of 9051


3 9051
7 3017
431 431
1

Prime factors of 9051 are 3,7,431. Prime factorization of 9051 in exponential form is:

9051 = 31×71×4311

∴ So by taking common prime factors GCF of 9044 and 9051 is 7

Greatest Common Factor of 9044 and 9051 by matching factors method

Factors of 9044

List of positive integer factors of 9044 that divides 9044 without a remainder.

1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044

Factors of 9051

List of positive integer factors of 9051 that divides 9051 without a remainder.

1,3,7,21,431,1293,3017,9051

Greatest Common Factor

We found the factors and prime factorization of 9044 and 9051. The biggest common factor number is the GCF number.
So the greatest common factor 9044 and 9051 is 7.

Also check out the Least Common Multiple of 9044 and 9051

Properties of GCF 9044 and 9051

(i) The GCF of 9044 and 9051 is associative

GCF of 9044 and 9051 = GCF of 9051 and 9044

Related Greatest Common Factor of 9044

Related Greatest Common Factor of 9051

Frequently Asked Questions on GCF of 9044 and 9051

1. What is the GCF of 9044 and 9051?

Answer: GCF of 9044 and 9051 is 7.

2. What are the Factors of 9044?

Answer: Factors of 9044 are 1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044. There are 24 integers that are factors of 9044. The greatest factor of 9044 is 9044.

3. What are the Factors of 9051?

Answer: Factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051. There are 8 integers that are factors of 9051. The greatest factor of 9051 is 9051.

4. How to Find the GCF of 9044 and 9051?

Answer:

Greatest Common Factor of 9044 and 9051 = 7

Step 1: Find the prime factorization of 9044

9044 = 2 x 2 x 7 x 17 x 19

Step 2: Find the prime factorization of 9051

9051 = 3 x 7 x 431

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 9044 and 9051 is 7