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 1296, 1298 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1296 and 1298 is 2.
GCF(1296,1298) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1296
2 | 1296 |
2 | 648 |
2 | 324 |
2 | 162 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 1296 are 2,3. Prime factorization of 1296 in exponential form is:
1296 = 24×34
Prime Factorization of 1298
2 | 1298 |
11 | 649 |
59 | 59 |
1 |
Prime factors of 1298 are 2,11,59. Prime factorization of 1298 in exponential form is:
1298 = 21×111×591
∴ So by taking common prime factors GCF of 1296 and 1298 is 2
Factors of 1296
List of positive integer factors of 1296 that divides 1296 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296
Factors of 1298
List of positive integer factors of 1298 that divides 1298 without a remainder.
1,2,11,22,59,118,649,1298
Greatest Common Factor
We found the factors and prime factorization of 1296 and 1298. The biggest common factor number is the GCF number.
So the greatest common factor 1296 and 1298 is 2.
Also check out the Least Common Multiple of 1296 and 1298
(i) The GCF of 1296 and 1298 is associative
GCF of 1296 and 1298 = GCF of 1298 and 1296
1. What is the GCF of 1296 and 1298?
Answer: GCF of 1296 and 1298 is 2.
2. What are the Factors of 1296?
Answer: Factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296. There are 25 integers that are factors of 1296. The greatest factor of 1296 is 1296.
3. What are the Factors of 1298?
Answer: Factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298. There are 8 integers that are factors of 1298. The greatest factor of 1298 is 1298.
4. How to Find the GCF of 1296 and 1298?
Answer:
Greatest Common Factor of 1296 and 1298 = 2
Step 1: Find the prime factorization of 1296
1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 1298
1298 = 2 x 11 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1296 and 1298 is 2