Greatest Common Factor of 5208 and 5214

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 5208, 5214 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5208 and 5214 is 6.

GCF(5208,5214) = 6

GCF of 5208 and 5214

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

GCF of:
and

Greatest Common Factor of 5208 and 5214

GCF of 5208 and 5214 is 6

Prime Factorization of 5208


2 5208
2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 5208 are 2,3,7,31. Prime factorization of 5208 in exponential form is:

5208 = 23×31×71×311

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

∴ So by taking common prime factors GCF of 5208 and 5214 is 6

Greatest Common Factor of 5208 and 5214 by matching factors method

Factors of 5208

List of positive integer factors of 5208 that divides 5208 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208

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

Greatest Common Factor

We found the factors and prime factorization of 5208 and 5214. The biggest common factor number is the GCF number.
So the greatest common factor 5208 and 5214 is 6.

Also check out the Least Common Multiple of 5208 and 5214

Properties of GCF 5208 and 5214

(i) The GCF of 5208 and 5214 is associative

GCF of 5208 and 5214 = GCF of 5214 and 5208

Related Greatest Common Factor of 5208

Related Greatest Common Factor of 5214

Frequently Asked Questions on GCF of 5208 and 5214

1. What is the GCF of 5208 and 5214?

Answer: GCF of 5208 and 5214 is 6.

2. What are the Factors of 5208?

Answer: Factors of 5208 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208. There are 32 integers that are factors of 5208. The greatest factor of 5208 is 5208.

3. 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.

4. How to Find the GCF of 5208 and 5214?

Answer:

Greatest Common Factor of 5208 and 5214 = 6

Step 1: Find the prime factorization of 5208

5208 = 2 x 2 x 2 x 3 x 7 x 31

Step 2: Find the prime factorization of 5214

5214 = 2 x 3 x 11 x 79

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 5208 and 5214 is 6