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 1216, 1217 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1216 and 1217 is 1.
GCF(1216,1217) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1216
2 | 1216 |
2 | 608 |
2 | 304 |
2 | 152 |
2 | 76 |
2 | 38 |
19 | 19 |
1 |
Prime factors of 1216 are 2,19. Prime factorization of 1216 in exponential form is:
1216 = 26×191
Prime Factorization of 1217
1217 | 1217 |
1 |
Prime factors of 1217 are 1217. Prime factorization of 1217 in exponential form is:
1217 = 12171
∴ So by taking common prime factors GCF of 1216 and 1217 is 1
Factors of 1216
List of positive integer factors of 1216 that divides 1216 without a remainder.
1,2,4,8,16,19,32,38,64,76,152,304,608,1216
Factors of 1217
List of positive integer factors of 1217 that divides 1217 without a remainder.
1,1217
Greatest Common Factor
We found the factors and prime factorization of 1216 and 1217. The biggest common factor number is the GCF number.
So the greatest common factor 1216 and 1217 is 1.
Also check out the Least Common Multiple of 1216 and 1217
(i) The GCF of 1216 and 1217 is associative
GCF of 1216 and 1217 = GCF of 1217 and 1216
1. What is the GCF of 1216 and 1217?
Answer: GCF of 1216 and 1217 is 1.
2. What are the Factors of 1216?
Answer: Factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216. There are 14 integers that are factors of 1216. The greatest factor of 1216 is 1216.
3. What are the Factors of 1217?
Answer: Factors of 1217 are 1, 1217. There are 2 integers that are factors of 1217. The greatest factor of 1217 is 1217.
4. How to Find the GCF of 1216 and 1217?
Answer:
Greatest Common Factor of 1216 and 1217 = 1
Step 1: Find the prime factorization of 1216
1216 = 2 x 2 x 2 x 2 x 2 x 2 x 19
Step 2: Find the prime factorization of 1217
1217 = 1217
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 1216 and 1217 is 1