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 1195, 1202 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1195 and 1202 is 1.
GCF(1195,1202) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1195
5 | 1195 |
239 | 239 |
1 |
Prime factors of 1195 are 5,239. Prime factorization of 1195 in exponential form is:
1195 = 51×2391
Prime Factorization of 1202
2 | 1202 |
601 | 601 |
1 |
Prime factors of 1202 are 2,601. Prime factorization of 1202 in exponential form is:
1202 = 21×6011
∴ So by taking common prime factors GCF of 1195 and 1202 is 1
Factors of 1195
List of positive integer factors of 1195 that divides 1195 without a remainder.
1,5,239,1195
Factors of 1202
List of positive integer factors of 1202 that divides 1202 without a remainder.
1,2,601,1202
Greatest Common Factor
We found the factors and prime factorization of 1195 and 1202. The biggest common factor number is the GCF number.
So the greatest common factor 1195 and 1202 is 1.
Also check out the Least Common Multiple of 1195 and 1202
(i) The GCF of 1195 and 1202 is associative
GCF of 1195 and 1202 = GCF of 1202 and 1195
1. What is the GCF of 1195 and 1202?
Answer: GCF of 1195 and 1202 is 1.
2. What are the Factors of 1195?
Answer: Factors of 1195 are 1, 5, 239, 1195. There are 4 integers that are factors of 1195. The greatest factor of 1195 is 1195.
3. What are the Factors of 1202?
Answer: Factors of 1202 are 1, 2, 601, 1202. There are 4 integers that are factors of 1202. The greatest factor of 1202 is 1202.
4. How to Find the GCF of 1195 and 1202?
Answer:
Greatest Common Factor of 1195 and 1202 = 1
Step 1: Find the prime factorization of 1195
1195 = 5 x 239
Step 2: Find the prime factorization of 1202
1202 = 2 x 601
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 1195 and 1202 is 1