Greatest Common Factor of 5214 and 5220

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, 5220 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5214 and 5220 is 6.

GCF(5214,5220) = 6

GCF of 5214 and 5220

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

GCF of:
and

Greatest Common Factor of 5214 and 5220

GCF of 5214 and 5220 is 6

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 5220


2 5220
2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 5220 are 2,3,5,29. Prime factorization of 5220 in exponential form is:

5220 = 22×32×51×291

∴ So by taking common prime factors GCF of 5214 and 5220 is 6

Greatest Common Factor of 5214 and 5220 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 5220

List of positive integer factors of 5220 that divides 5220 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220

Greatest Common Factor

We found the factors and prime factorization of 5214 and 5220. The biggest common factor number is the GCF number.
So the greatest common factor 5214 and 5220 is 6.

Also check out the Least Common Multiple of 5214 and 5220

Properties of GCF 5214 and 5220

(i) The GCF of 5214 and 5220 is associative

GCF of 5214 and 5220 = GCF of 5220 and 5214

Related Greatest Common Factor of 5214

Related Greatest Common Factor of 5220

Frequently Asked Questions on GCF of 5214 and 5220

1. What is the GCF of 5214 and 5220?

Answer: GCF of 5214 and 5220 is 6.

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 5220?

Answer: Factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220. There are 36 integers that are factors of 5220. The greatest factor of 5220 is 5220.

4. How to Find the GCF of 5214 and 5220?

Answer:

Greatest Common Factor of 5214 and 5220 = 6

Step 1: Find the prime factorization of 5214

5214 = 2 x 3 x 11 x 79

Step 2: Find the prime factorization of 5220

5220 = 2 x 2 x 3 x 3 x 5 x 29

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5214 and 5220 is 6