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 1212, 1219 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1212 and 1219 is 1.
GCF(1212,1219) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1212
2 | 1212 |
2 | 606 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 1212 are 2,3,101. Prime factorization of 1212 in exponential form is:
1212 = 22×31×1011
Prime Factorization of 1219
23 | 1219 |
53 | 53 |
1 |
Prime factors of 1219 are 23,53. Prime factorization of 1219 in exponential form is:
1219 = 231×531
∴ So by taking common prime factors GCF of 1212 and 1219 is 1
Factors of 1212
List of positive integer factors of 1212 that divides 1212 without a remainder.
1,2,3,4,6,12,101,202,303,404,606,1212
Factors of 1219
List of positive integer factors of 1219 that divides 1219 without a remainder.
1,23,53,1219
Greatest Common Factor
We found the factors and prime factorization of 1212 and 1219. The biggest common factor number is the GCF number.
So the greatest common factor 1212 and 1219 is 1.
Also check out the Least Common Multiple of 1212 and 1219
(i) The GCF of 1212 and 1219 is associative
GCF of 1212 and 1219 = GCF of 1219 and 1212
1. What is the GCF of 1212 and 1219?
Answer: GCF of 1212 and 1219 is 1.
2. What are the Factors of 1212?
Answer: Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212. There are 12 integers that are factors of 1212. The greatest factor of 1212 is 1212.
3. What are the Factors of 1219?
Answer: Factors of 1219 are 1, 23, 53, 1219. There are 4 integers that are factors of 1219. The greatest factor of 1219 is 1219.
4. How to Find the GCF of 1212 and 1219?
Answer:
Greatest Common Factor of 1212 and 1219 = 1
Step 1: Find the prime factorization of 1212
1212 = 2 x 2 x 3 x 101
Step 2: Find the prime factorization of 1219
1219 = 23 x 53
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 1212 and 1219 is 1