Greatest Common Factor of 5214 and 5222

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, 5222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5214 and 5222 is 2.

GCF(5214,5222) = 2

GCF of 5214 and 5222

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

GCF of:
and

Greatest Common Factor of 5214 and 5222

GCF of 5214 and 5222 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 5222


2 5222
7 2611
373 373
1

Prime factors of 5222 are 2,7,373. Prime factorization of 5222 in exponential form is:

5222 = 21×71×3731

∴ So by taking common prime factors GCF of 5214 and 5222 is 2

Greatest Common Factor of 5214 and 5222 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 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1,2,7,14,373,746,2611,5222

Greatest Common Factor

We found the factors and prime factorization of 5214 and 5222. The biggest common factor number is the GCF number.
So the greatest common factor 5214 and 5222 is 2.

Also check out the Least Common Multiple of 5214 and 5222

Properties of GCF 5214 and 5222

(i) The GCF of 5214 and 5222 is associative

GCF of 5214 and 5222 = GCF of 5222 and 5214

Related Greatest Common Factor of 5214

Related Greatest Common Factor of 5222

Frequently Asked Questions on GCF of 5214 and 5222

1. What is the GCF of 5214 and 5222?

Answer: GCF of 5214 and 5222 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 5222?

Answer: Factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222. There are 8 integers that are factors of 5222. The greatest factor of 5222 is 5222.

4. How to Find the GCF of 5214 and 5222?

Answer:

Greatest Common Factor of 5214 and 5222 = 2

Step 1: Find the prime factorization of 5214

5214 = 2 x 3 x 11 x 79

Step 2: Find the prime factorization of 5222

5222 = 2 x 7 x 373

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 5222 is 2