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 1208, 1212 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1208 and 1212 is 4.
GCF(1208,1212) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1208
2 | 1208 |
2 | 604 |
2 | 302 |
151 | 151 |
1 |
Prime factors of 1208 are 2,151. Prime factorization of 1208 in exponential form is:
1208 = 23×1511
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
∴ So by taking common prime factors GCF of 1208 and 1212 is 4
Factors of 1208
List of positive integer factors of 1208 that divides 1208 without a remainder.
1,2,4,8,151,302,604,1208
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
Greatest Common Factor
We found the factors and prime factorization of 1208 and 1212. The biggest common factor number is the GCF number.
So the greatest common factor 1208 and 1212 is 4.
Also check out the Least Common Multiple of 1208 and 1212
(i) The GCF of 1208 and 1212 is associative
GCF of 1208 and 1212 = GCF of 1212 and 1208
1. What is the GCF of 1208 and 1212?
Answer: GCF of 1208 and 1212 is 4.
2. What are the Factors of 1208?
Answer: Factors of 1208 are 1, 2, 4, 8, 151, 302, 604, 1208. There are 8 integers that are factors of 1208. The greatest factor of 1208 is 1208.
3. 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.
4. How to Find the GCF of 1208 and 1212?
Answer:
Greatest Common Factor of 1208 and 1212 = 4
Step 1: Find the prime factorization of 1208
1208 = 2 x 2 x 2 x 151
Step 2: Find the prime factorization of 1212
1212 = 2 x 2 x 3 x 101
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1208 and 1212 is 4