Greatest Common Factor of 9128 and 9136

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 9128, 9136 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9128 and 9136 is 8.

GCF(9128,9136) = 8

GCF of 9128 and 9136

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

GCF of:
and

Greatest Common Factor of 9128 and 9136

GCF of 9128 and 9136 is 8

Prime Factorization of 9128


2 9128
2 4564
2 2282
7 1141
163 163
1

Prime factors of 9128 are 2,7,163. Prime factorization of 9128 in exponential form is:

9128 = 23×71×1631

Prime Factorization of 9136


2 9136
2 4568
2 2284
2 1142
571 571
1

Prime factors of 9136 are 2,571. Prime factorization of 9136 in exponential form is:

9136 = 24×5711

∴ So by taking common prime factors GCF of 9128 and 9136 is 8

Greatest Common Factor of 9128 and 9136 by matching factors method

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Factors of 9136

List of positive integer factors of 9136 that divides 9136 without a remainder.

1,2,4,8,16,571,1142,2284,4568,9136

Greatest Common Factor

We found the factors and prime factorization of 9128 and 9136. The biggest common factor number is the GCF number.
So the greatest common factor 9128 and 9136 is 8.

Also check out the Least Common Multiple of 9128 and 9136

Properties of GCF 9128 and 9136

(i) The GCF of 9128 and 9136 is associative

GCF of 9128 and 9136 = GCF of 9136 and 9128

Related Greatest Common Factor of 9128

Related Greatest Common Factor of 9136

Frequently Asked Questions on GCF of 9128 and 9136

1. What is the GCF of 9128 and 9136?

Answer: GCF of 9128 and 9136 is 8.

2. What are the Factors of 9128?

Answer: Factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128. There are 16 integers that are factors of 9128. The greatest factor of 9128 is 9128.

3. What are the Factors of 9136?

Answer: Factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136. There are 10 integers that are factors of 9136. The greatest factor of 9136 is 9136.

4. How to Find the GCF of 9128 and 9136?

Answer:

Greatest Common Factor of 9128 and 9136 = 8

Step 1: Find the prime factorization of 9128

9128 = 2 x 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 9136

9136 = 2 x 2 x 2 x 2 x 571

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9128 and 9136 is 8