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 1196, 1201 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1196 and 1201 is 1.
GCF(1196,1201) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1196
2 | 1196 |
2 | 598 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 1196 are 2,13,23. Prime factorization of 1196 in exponential form is:
1196 = 22×131×231
Prime Factorization of 1201
1201 | 1201 |
1 |
Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:
1201 = 12011
∴ So by taking common prime factors GCF of 1196 and 1201 is 1
Factors of 1196
List of positive integer factors of 1196 that divides 1196 without a remainder.
1,2,4,13,23,26,46,52,92,299,598,1196
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1,1201
Greatest Common Factor
We found the factors and prime factorization of 1196 and 1201. The biggest common factor number is the GCF number.
So the greatest common factor 1196 and 1201 is 1.
Also check out the Least Common Multiple of 1196 and 1201
(i) The GCF of 1196 and 1201 is associative
GCF of 1196 and 1201 = GCF of 1201 and 1196
1. What is the GCF of 1196 and 1201?
Answer: GCF of 1196 and 1201 is 1.
2. What are the Factors of 1196?
Answer: Factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196. There are 12 integers that are factors of 1196. The greatest factor of 1196 is 1196.
3. What are the Factors of 1201?
Answer: Factors of 1201 are 1, 1201. There are 2 integers that are factors of 1201. The greatest factor of 1201 is 1201.
4. How to Find the GCF of 1196 and 1201?
Answer:
Greatest Common Factor of 1196 and 1201 = 1
Step 1: Find the prime factorization of 1196
1196 = 2 x 2 x 13 x 23
Step 2: Find the prime factorization of 1201
1201 = 1201
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 1196 and 1201 is 1