Greatest Common Factor of 5323 and 5327

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

• Greatest Common Factor of 5323 and 5327 by prime factorization method
• Greatest Common Factor of 5323 and 5327 by matching factors method

Prime Factorization of 5323

Prime factors of 5323 are 5323. Prime factorization of 5323 in exponential form is:

5323 = 5323¹

Prime Factorization of 5327

Prime factors of 5327 are 7.Prime factorization of 5327 in exponential form is:

5327 = 7¹×761¹

∴ So by taking common prime factors GCF of 5323 and 5327 is 1

Factors of 5323

List of positive integer factors of 5323 that divides 5323 without a remainder.

1,5323

Factors of 5327

List of positive integer factors of 5327 that divides 5327 without a remainder.

1,7,761,5327

Greatest Common Factor

We found the factors and prime factorization of 5323 and 5327. The biggest common factor number is the GCF number.
So the greatest common factor 5323 and 5327 is 1.

Also check out the Least Common Multiple of 5323 and 5327

(i) The GCF of 5323 and 5327 is associative

GCF of 5323 and 5327 = GCF of 5327 and 5323

1. What is the GCF of 5323 and 5327?

Answer: GCF of 5323 and 5327 is 1.

2. What are the Factors of 5323?

Answer: Factors of 5323 are 1, 5323. There are 2 integers that are factors of 5323. The greatest factor of 5323 is 5323.

3. What are the Factors of 5327?

Answer: Factors of 5327 are 1, 7, 761, 5327. There are 4 integers that are factors of 5327. The greatest factor of 5327 is 5327.

4. How to Find the GCF of 5323 and 5327?

Answer:

Greatest Common Factor of 5323 and 5327 = 1

Step 1: Find the prime factorization of 5323

5323 = 5323

Step 2: Find the prime factorization of 5327

5327 = 7 x 761

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 5323 and 5327 is 1