Greatest Common Factor of 9044 and 9052

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, 9052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9044 and 9052 is 4.

GCF(9044,9052) = 4

GCF of 9044 and 9052

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

GCF of:
and

Greatest Common Factor of 9044 and 9052

GCF of 9044 and 9052 is 4

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 9052


2 9052
2 4526
31 2263
73 73
1

Prime factors of 9052 are 2,31,73. Prime factorization of 9052 in exponential form is:

9052 = 22×311×731

∴ So by taking common prime factors GCF of 9044 and 9052 is 4

Greatest Common Factor of 9044 and 9052 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 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1,2,4,31,62,73,124,146,292,2263,4526,9052

Greatest Common Factor

We found the factors and prime factorization of 9044 and 9052. The biggest common factor number is the GCF number.
So the greatest common factor 9044 and 9052 is 4.

Also check out the Least Common Multiple of 9044 and 9052

Properties of GCF 9044 and 9052

(i) The GCF of 9044 and 9052 is associative

GCF of 9044 and 9052 = GCF of 9052 and 9044

Related Greatest Common Factor of 9044

Related Greatest Common Factor of 9052

Frequently Asked Questions on GCF of 9044 and 9052

1. What is the GCF of 9044 and 9052?

Answer: GCF of 9044 and 9052 is 4.

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 9052?

Answer: Factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052. There are 12 integers that are factors of 9052. The greatest factor of 9052 is 9052.

4. How to Find the GCF of 9044 and 9052?

Answer:

Greatest Common Factor of 9044 and 9052 = 4

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 9052

9052 = 2 x 2 x 31 x 73

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9044 and 9052 is 4