Greatest Common Factor of 5164 and 5167

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 5164, 5167 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5164 and 5167 is 1.

GCF(5164,5167) = 1

GCF of 5164 and 5167

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

GCF of:
and

Greatest Common Factor of 5164 and 5167

GCF of 5164 and 5167 is 1

Prime Factorization of 5164


2 5164
2 2582
1291 1291
1

Prime factors of 5164 are 2,1291. Prime factorization of 5164 in exponential form is:

5164 = 22×12911

Prime Factorization of 5167


5167 5167
1

Prime factors of 5167 are 5167. Prime factorization of 5167 in exponential form is:

5167 = 51671

∴ So by taking common prime factors GCF of 5164 and 5167 is 1

Greatest Common Factor of 5164 and 5167 by matching factors method

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Factors of 5167

List of positive integer factors of 5167 that divides 5167 without a remainder.

1,5167

Greatest Common Factor

We found the factors and prime factorization of 5164 and 5167. The biggest common factor number is the GCF number.
So the greatest common factor 5164 and 5167 is 1.

Also check out the Least Common Multiple of 5164 and 5167

Properties of GCF 5164 and 5167

(i) The GCF of 5164 and 5167 is associative

GCF of 5164 and 5167 = GCF of 5167 and 5164

Related Greatest Common Factor of 5164

Related Greatest Common Factor of 5167

Frequently Asked Questions on GCF of 5164 and 5167

1. What is the GCF of 5164 and 5167?

Answer: GCF of 5164 and 5167 is 1.

2. What are the Factors of 5164?

Answer: Factors of 5164 are 1, 2, 4, 1291, 2582, 5164. There are 6 integers that are factors of 5164. The greatest factor of 5164 is 5164.

3. What are the Factors of 5167?

Answer: Factors of 5167 are 1, 5167. There are 2 integers that are factors of 5167. The greatest factor of 5167 is 5167.

4. How to Find the GCF of 5164 and 5167?

Answer:

Greatest Common Factor of 5164 and 5167 = 1

Step 1: Find the prime factorization of 5164

5164 = 2 x 2 x 1291

Step 2: Find the prime factorization of 5167

5167 = 5167

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 5164 and 5167 is 1