Greatest Common Factor of 5194 and 5201

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 5194, 5201 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5194 and 5201 is 7.

GCF(5194,5201) = 7

GCF of 5194 and 5201

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

GCF of:
and

Greatest Common Factor of 5194 and 5201

GCF of 5194 and 5201 is 7

Prime Factorization of 5194


2 5194
7 2597
7 371
53 53
1

Prime factors of 5194 are 2,7,53. Prime factorization of 5194 in exponential form is:

5194 = 21×72×531

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

∴ So by taking common prime factors GCF of 5194 and 5201 is 7

Greatest Common Factor of 5194 and 5201 by matching factors method

Factors of 5194

List of positive integer factors of 5194 that divides 5194 without a remainder.

1,2,7,14,49,53,98,106,371,742,2597,5194

Factors of 5201

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

1,7,743,5201

Greatest Common Factor

We found the factors and prime factorization of 5194 and 5201. The biggest common factor number is the GCF number.
So the greatest common factor 5194 and 5201 is 7.

Also check out the Least Common Multiple of 5194 and 5201

Properties of GCF 5194 and 5201

(i) The GCF of 5194 and 5201 is associative

GCF of 5194 and 5201 = GCF of 5201 and 5194

Related Greatest Common Factor of 5194

Related Greatest Common Factor of 5201

Frequently Asked Questions on GCF of 5194 and 5201

1. What is the GCF of 5194 and 5201?

Answer: GCF of 5194 and 5201 is 7.

2. What are the Factors of 5194?

Answer: Factors of 5194 are 1, 2, 7, 14, 49, 53, 98, 106, 371, 742, 2597, 5194. There are 12 integers that are factors of 5194. The greatest factor of 5194 is 5194.

3. 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.

4. How to Find the GCF of 5194 and 5201?

Answer:

Greatest Common Factor of 5194 and 5201 = 7

Step 1: Find the prime factorization of 5194

5194 = 2 x 7 x 7 x 53

Step 2: Find the prime factorization of 5201

5201 = 7 x 743

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 5194 and 5201 is 7