Greatest Common Factor of 9533 and 9538

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 9533, 9538 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9533 and 9538 is 1.

GCF(9533,9538) = 1

GCF of 9533 and 9538

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

GCF of:
and

Greatest Common Factor of 9533 and 9538

GCF of 9533 and 9538 is 1

Prime Factorization of 9533


9533 9533
1

Prime factors of 9533 are 9533. Prime factorization of 9533 in exponential form is:

9533 = 95331

Prime Factorization of 9538


2 9538
19 4769
251 251
1

Prime factors of 9538 are 2.Prime factorization of 9538 in exponential form is:

9538 = 21×191×2511

∴ So by taking common prime factors GCF of 9533 and 9538 is 1

Greatest Common Factor of 9533 and 9538 by matching factors method

Factors of 9533

List of positive integer factors of 9533 that divides 9533 without a remainder.

1,9533

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1,2,19,38,251,502,4769,9538

Greatest Common Factor

We found the factors and prime factorization of 9533 and 9538. The biggest common factor number is the GCF number.
So the greatest common factor 9533 and 9538 is 1.

Also check out the Least Common Multiple of 9533 and 9538

Properties of GCF 9533 and 9538

(i) The GCF of 9533 and 9538 is associative

GCF of 9533 and 9538 = GCF of 9538 and 9533

Frequently Asked Questions on GCF of 9533 and 9538

1. What is the GCF of 9533 and 9538?

Answer: GCF of 9533 and 9538 is 1.

2. What are the Factors of 9533?

Answer: Factors of 9533 are 1, 9533. There are 2 integers that are factors of 9533. The greatest factor of 9533 is 9533.

3. What are the Factors of 9538?

Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.

4. How to Find the GCF of 9533 and 9538?

Answer:

Greatest Common Factor of 9533 and 9538 = 1

Step 1: Find the prime factorization of 9533

9533 = 9533

Step 2: Find the prime factorization of 9538

9538 = 2 x 19 x 251

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 9533 and 9538 is 1