Greatest Common Factor of 9136 and 9143

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 9136, 9143 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9136 and 9143 is 1.

GCF(9136,9143) = 1

GCF of 9136 and 9143

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

GCF of:
and

Greatest Common Factor of 9136 and 9143

GCF of 9136 and 9143 is 1

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

Prime Factorization of 9143


41 9143
223 223
1

Prime factors of 9143 are 41,223. Prime factorization of 9143 in exponential form is:

9143 = 411×2231

∴ So by taking common prime factors GCF of 9136 and 9143 is 1

Greatest Common Factor of 9136 and 9143 by matching factors method

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

Factors of 9143

List of positive integer factors of 9143 that divides 9143 without a remainder.

1,41,223,9143

Greatest Common Factor

We found the factors and prime factorization of 9136 and 9143. The biggest common factor number is the GCF number.
So the greatest common factor 9136 and 9143 is 1.

Also check out the Least Common Multiple of 9136 and 9143

Properties of GCF 9136 and 9143

(i) The GCF of 9136 and 9143 is associative

GCF of 9136 and 9143 = GCF of 9143 and 9136

Frequently Asked Questions on GCF of 9136 and 9143

1. What is the GCF of 9136 and 9143?

Answer: GCF of 9136 and 9143 is 1.

2. 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.

3. What are the Factors of 9143?

Answer: Factors of 9143 are 1, 41, 223, 9143. There are 4 integers that are factors of 9143. The greatest factor of 9143 is 9143.

4. How to Find the GCF of 9136 and 9143?

Answer:

Greatest Common Factor of 9136 and 9143 = 1

Step 1: Find the prime factorization of 9136

9136 = 2 x 2 x 2 x 2 x 571

Step 2: Find the prime factorization of 9143

9143 = 41 x 223

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 9136 and 9143 is 1