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, 15203 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15197 and 15203 is 1.
GCF(15197,15203) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 15203
23 | 15203 |
661 | 661 |
1 |
Prime factors of 15203 are 23,661. Prime factorization of 15203 in exponential form is:
15203 = 231×6611
∴ So by taking common prime factors GCF of 15197 and 15203 is 1
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 15203
List of positive integer factors of 15203 that divides 15203 without a remainder.
1,23,661,15203
Greatest Common Factor
We found the factors and prime factorization of 15197 and 15203. The biggest common factor number is the GCF number.
So the greatest common factor 15197 and 15203 is 1.
Also check out the Least Common Multiple of 15197 and 15203
(i) The GCF of 15197 and 15203 is associative
GCF of 15197 and 15203 = GCF of 15203 and 15197
1. What is the GCF of 15197 and 15203?
Answer: GCF of 15197 and 15203 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 15203?
Answer: Factors of 15203 are 1, 23, 661, 15203. There are 4 integers that are factors of 15203. The greatest factor of 15203 is 15203.
4. How to Find the GCF of 15197 and 15203?
Answer:
Greatest Common Factor of 15197 and 15203 = 1
Step 1: Find the prime factorization of 15197
15197 = 7 x 13 x 167
Step 2: Find the prime factorization of 15203
15203 = 23 x 661
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 15203 is 1