Greatest Common Factor of 15197 and 15201

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 15197, 15201 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15197 and 15201 is 1.

GCF(15197,15201) = 1

GCF of 15197 and 15201

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

GCF of:
and

Greatest Common Factor of 15197 and 15201

GCF of 15197 and 15201 is 1

Prime Factorization of 15197


7 15197
13 2171
167 167
1

Prime factors of 15197 are 7,13,167. Prime factorization of 15197 in exponential form is:

15197 = 71×131×1671

Prime Factorization of 15201


3 15201
3 5067
3 1689
563 563
1

Prime factors of 15201 are 3,563. Prime factorization of 15201 in exponential form is:

15201 = 33×5631

∴ So by taking common prime factors GCF of 15197 and 15201 is 1

Greatest Common Factor of 15197 and 15201 by matching factors method

Factors of 15197

List of positive integer factors of 15197 that divides 15197 without a remainder.

1,7,13,91,167,1169,2171,15197

Factors of 15201

List of positive integer factors of 15201 that divides 15201 without a remainder.

1,3,9,27,563,1689,5067,15201

Greatest Common Factor

We found the factors and prime factorization of 15197 and 15201. The biggest common factor number is the GCF number.
So the greatest common factor 15197 and 15201 is 1.

Also check out the Least Common Multiple of 15197 and 15201

Properties of GCF 15197 and 15201

(i) The GCF of 15197 and 15201 is associative

GCF of 15197 and 15201 = GCF of 15201 and 15197

Related Greatest Common Factor of 15197

Related Greatest Common Factor of 15201

Frequently Asked Questions on GCF of 15197 and 15201

1. What is the GCF of 15197 and 15201?

Answer: GCF of 15197 and 15201 is 1.

2. What are the Factors of 15197?

Answer: Factors of 15197 are 1, 7, 13, 91, 167, 1169, 2171, 15197. There are 8 integers that are factors of 15197. The greatest factor of 15197 is 15197.

3. What are the Factors of 15201?

Answer: Factors of 15201 are 1, 3, 9, 27, 563, 1689, 5067, 15201. There are 8 integers that are factors of 15201. The greatest factor of 15201 is 15201.

4. How to Find the GCF of 15197 and 15201?

Answer:

Greatest Common Factor of 15197 and 15201 = 1

Step 1: Find the prime factorization of 15197

15197 = 7 x 13 x 167

Step 2: Find the prime factorization of 15201

15201 = 3 x 3 x 3 x 563

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 15197 and 15201 is 1