Greatest Common Factor of 5208 and 5209

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, 5209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5208 and 5209 is 1.

GCF(5208,5209) = 1

GCF of 5208 and 5209

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

GCF of:
and

Greatest Common Factor of 5208 and 5209

GCF of 5208 and 5209 is 1

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 5209


5209 5209
1

Prime factors of 5209 are 5209. Prime factorization of 5209 in exponential form is:

5209 = 52091

∴ So by taking common prime factors GCF of 5208 and 5209 is 1

Greatest Common Factor of 5208 and 5209 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 5209

List of positive integer factors of 5209 that divides 5209 without a remainder.

1,5209

Greatest Common Factor

We found the factors and prime factorization of 5208 and 5209. The biggest common factor number is the GCF number.
So the greatest common factor 5208 and 5209 is 1.

Also check out the Least Common Multiple of 5208 and 5209

Properties of GCF 5208 and 5209

(i) The GCF of 5208 and 5209 is associative

GCF of 5208 and 5209 = GCF of 5209 and 5208

Related Greatest Common Factor of 5208

Related Greatest Common Factor of 5209

Frequently Asked Questions on GCF of 5208 and 5209

1. What is the GCF of 5208 and 5209?

Answer: GCF of 5208 and 5209 is 1.

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 5209?

Answer: Factors of 5209 are 1, 5209. There are 2 integers that are factors of 5209. The greatest factor of 5209 is 5209.

4. How to Find the GCF of 5208 and 5209?

Answer:

Greatest Common Factor of 5208 and 5209 = 1

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 5209

5209 = 5209

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5208 and 5209 is 1