Greatest Common Factor of 5201 and 5208

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 5201, 5208 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5201 and 5208 is 7.

GCF(5201,5208) = 7

GCF of 5201 and 5208

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

GCF of:
and

Greatest Common Factor of 5201 and 5208

GCF of 5201 and 5208 is 7

Prime Factorization of 5201


7 5201
743 743
1

Prime factors of 5201 are 7,743. Prime factorization of 5201 in exponential form is:

5201 = 71×7431

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

∴ So by taking common prime factors GCF of 5201 and 5208 is 7

Greatest Common Factor of 5201 and 5208 by matching factors method

Factors of 5201

List of positive integer factors of 5201 that divides 5201 without a remainder.

1,7,743,5201

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

Greatest Common Factor

We found the factors and prime factorization of 5201 and 5208. The biggest common factor number is the GCF number.
So the greatest common factor 5201 and 5208 is 7.

Also check out the Least Common Multiple of 5201 and 5208

Properties of GCF 5201 and 5208

(i) The GCF of 5201 and 5208 is associative

GCF of 5201 and 5208 = GCF of 5208 and 5201

Related Greatest Common Factor of 5201

Related Greatest Common Factor of 5208

Frequently Asked Questions on GCF of 5201 and 5208

1. What is the GCF of 5201 and 5208?

Answer: GCF of 5201 and 5208 is 7.

2. What are the Factors of 5201?

Answer: Factors of 5201 are 1, 7, 743, 5201. There are 4 integers that are factors of 5201. The greatest factor of 5201 is 5201.

3. 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.

4. How to Find the GCF of 5201 and 5208?

Answer:

Greatest Common Factor of 5201 and 5208 = 7

Step 1: Find the prime factorization of 5201

5201 = 7 x 743

Step 2: Find the prime factorization of 5208

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

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 5201 and 5208 is 7