Greatest Common Factor of 15197 and 15202

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, 15202 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15197 and 15202 is 1.

GCF(15197,15202) = 1

GCF of 15197 and 15202

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

GCF of:
and

Greatest Common Factor of 15197 and 15202

GCF of 15197 and 15202 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 15202


2 15202
11 7601
691 691
1

Prime factors of 15202 are 2,11,691. Prime factorization of 15202 in exponential form is:

15202 = 21×111×6911

∴ So by taking common prime factors GCF of 15197 and 15202 is 1

Greatest Common Factor of 15197 and 15202 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 15202

List of positive integer factors of 15202 that divides 15202 without a remainder.

1,2,11,22,691,1382,7601,15202

Greatest Common Factor

We found the factors and prime factorization of 15197 and 15202. The biggest common factor number is the GCF number.
So the greatest common factor 15197 and 15202 is 1.

Also check out the Least Common Multiple of 15197 and 15202

Properties of GCF 15197 and 15202

(i) The GCF of 15197 and 15202 is associative

GCF of 15197 and 15202 = GCF of 15202 and 15197

Related Greatest Common Factor of 15197

Related Greatest Common Factor of 15202

Frequently Asked Questions on GCF of 15197 and 15202

1. What is the GCF of 15197 and 15202?

Answer: GCF of 15197 and 15202 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 15202?

Answer: Factors of 15202 are 1, 2, 11, 22, 691, 1382, 7601, 15202. There are 8 integers that are factors of 15202. The greatest factor of 15202 is 15202.

4. How to Find the GCF of 15197 and 15202?

Answer:

Greatest Common Factor of 15197 and 15202 = 1

Step 1: Find the prime factorization of 15197

15197 = 7 x 13 x 167

Step 2: Find the prime factorization of 15202

15202 = 2 x 11 x 691

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 15202 is 1