Greatest Common Factor of 5314 and 5322

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 5314, 5322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5314 and 5322 is 2.

GCF(5314,5322) = 2

GCF of 5314 and 5322

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

GCF of:
and

Greatest Common Factor of 5314 and 5322

GCF of 5314 and 5322 is 2

Prime Factorization of 5314


2 5314
2657 2657
1

Prime factors of 5314 are 2,2657. Prime factorization of 5314 in exponential form is:

5314 = 21×26571

Prime Factorization of 5322


2 5322
3 2661
887 887
1

Prime factors of 5322 are 2,3,887. Prime factorization of 5322 in exponential form is:

5322 = 21×31×8871

∴ So by taking common prime factors GCF of 5314 and 5322 is 2

Greatest Common Factor of 5314 and 5322 by matching factors method

Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1,2,2657,5314

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

Greatest Common Factor

We found the factors and prime factorization of 5314 and 5322. The biggest common factor number is the GCF number.
So the greatest common factor 5314 and 5322 is 2.

Also check out the Least Common Multiple of 5314 and 5322

Properties of GCF 5314 and 5322

(i) The GCF of 5314 and 5322 is associative

GCF of 5314 and 5322 = GCF of 5322 and 5314

Related Greatest Common Factor of 5314

Related Greatest Common Factor of 5322

Frequently Asked Questions on GCF of 5314 and 5322

1. What is the GCF of 5314 and 5322?

Answer: GCF of 5314 and 5322 is 2.

2. What are the Factors of 5314?

Answer: Factors of 5314 are 1, 2, 2657, 5314. There are 4 integers that are factors of 5314. The greatest factor of 5314 is 5314.

3. What are the Factors of 5322?

Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.

4. How to Find the GCF of 5314 and 5322?

Answer:

Greatest Common Factor of 5314 and 5322 = 2

Step 1: Find the prime factorization of 5314

5314 = 2 x 2657

Step 2: Find the prime factorization of 5322

5322 = 2 x 3 x 887

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5314 and 5322 is 2