Greatest Common Factor of 5208 and 5215

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, 5215 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5208 and 5215 is 7.

GCF(5208,5215) = 7

GCF of 5208 and 5215

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

GCF of:
and

Greatest Common Factor of 5208 and 5215

GCF of 5208 and 5215 is 7

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 5215


5 5215
7 1043
149 149
1

Prime factors of 5215 are 5,7,149. Prime factorization of 5215 in exponential form is:

5215 = 51×71×1491

∴ So by taking common prime factors GCF of 5208 and 5215 is 7

Greatest Common Factor of 5208 and 5215 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 5215

List of positive integer factors of 5215 that divides 5215 without a remainder.

1,5,7,35,149,745,1043,5215

Greatest Common Factor

We found the factors and prime factorization of 5208 and 5215. The biggest common factor number is the GCF number.
So the greatest common factor 5208 and 5215 is 7.

Also check out the Least Common Multiple of 5208 and 5215

Properties of GCF 5208 and 5215

(i) The GCF of 5208 and 5215 is associative

GCF of 5208 and 5215 = GCF of 5215 and 5208

Related Greatest Common Factor of 5208

Related Greatest Common Factor of 5215

Frequently Asked Questions on GCF of 5208 and 5215

1. What is the GCF of 5208 and 5215?

Answer: GCF of 5208 and 5215 is 7.

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 5215?

Answer: Factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215. There are 8 integers that are factors of 5215. The greatest factor of 5215 is 5215.

4. How to Find the GCF of 5208 and 5215?

Answer:

Greatest Common Factor of 5208 and 5215 = 7

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 5215

5215 = 5 x 7 x 149

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5208 and 5215 is 7