Greatest Common Factor of 5214 and 5218

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 5214, 5218 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5214 and 5218 is 2.

GCF(5214,5218) = 2

GCF of 5214 and 5218

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

GCF of:
and

Greatest Common Factor of 5214 and 5218

GCF of 5214 and 5218 is 2

Prime Factorization of 5214


2 5214
3 2607
11 869
79 79
1

Prime factors of 5214 are 2,3,11,79. Prime factorization of 5214 in exponential form is:

5214 = 21×31×111×791

Prime Factorization of 5218


2 5218
2609 2609
1

Prime factors of 5218 are 2,2609. Prime factorization of 5218 in exponential form is:

5218 = 21×26091

∴ So by taking common prime factors GCF of 5214 and 5218 is 2

Greatest Common Factor of 5214 and 5218 by matching factors method

Factors of 5214

List of positive integer factors of 5214 that divides 5214 without a remainder.

1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214

Factors of 5218

List of positive integer factors of 5218 that divides 5218 without a remainder.

1,2,2609,5218

Greatest Common Factor

We found the factors and prime factorization of 5214 and 5218. The biggest common factor number is the GCF number.
So the greatest common factor 5214 and 5218 is 2.

Also check out the Least Common Multiple of 5214 and 5218

Properties of GCF 5214 and 5218

(i) The GCF of 5214 and 5218 is associative

GCF of 5214 and 5218 = GCF of 5218 and 5214

Related Greatest Common Factor of 5214

Related Greatest Common Factor of 5218

Frequently Asked Questions on GCF of 5214 and 5218

1. What is the GCF of 5214 and 5218?

Answer: GCF of 5214 and 5218 is 2.

2. What are the Factors of 5214?

Answer: Factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214. There are 16 integers that are factors of 5214. The greatest factor of 5214 is 5214.

3. What are the Factors of 5218?

Answer: Factors of 5218 are 1, 2, 2609, 5218. There are 4 integers that are factors of 5218. The greatest factor of 5218 is 5218.

4. How to Find the GCF of 5214 and 5218?

Answer:

Greatest Common Factor of 5214 and 5218 = 2

Step 1: Find the prime factorization of 5214

5214 = 2 x 3 x 11 x 79

Step 2: Find the prime factorization of 5218

5218 = 2 x 2609

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 5214 and 5218 is 2