Greatest Common Factor of 533 and 538

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 533, 538 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 533 and 538 is 1.

GCF(533,538) = 1

GCF of 533 and 538

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

GCF of:
and

Greatest Common Factor of 533 and 538

GCF of 533 and 538 is 1

Prime Factorization of 533


13 533
41 41
1

Prime factors of 533 are 13,41. Prime factorization of 533 in exponential form is:

533 = 131×411

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

∴ So by taking common prime factors GCF of 533 and 538 is 1

Greatest Common Factor of 533 and 538 by matching factors method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors and prime factorization of 533 and 538. The biggest common factor number is the GCF number.
So the greatest common factor 533 and 538 is 1.

Also check out the Least Common Multiple of 533 and 538

Properties of GCF 533 and 538

(i) The GCF of 533 and 538 is associative

GCF of 533 and 538 = GCF of 538 and 533

Related Greatest Common Factor of 533

Related Greatest Common Factor of 538

Frequently Asked Questions on GCF of 533 and 538

1. What is the GCF of 533 and 538?

Answer: GCF of 533 and 538 is 1.

2. What are the Factors of 533?

Answer: Factors of 533 are 1, 13, 41, 533. There are 4 integers that are factors of 533. The greatest factor of 533 is 533.

3. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

4. How to Find the GCF of 533 and 538?

Answer:

Greatest Common Factor of 533 and 538 = 1

Step 1: Find the prime factorization of 533

533 = 13 x 41

Step 2: Find the prime factorization of 538

538 = 2 x 269

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 533 and 538 is 1