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 1308, 1312 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1308 and 1312 is 4.
GCF(1308,1312) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1308
2 | 1308 |
2 | 654 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 1308 are 2,3,109. Prime factorization of 1308 in exponential form is:
1308 = 22×31×1091
Prime Factorization of 1312
2 | 1312 |
2 | 656 |
2 | 328 |
2 | 164 |
2 | 82 |
41 | 41 |
1 |
Prime factors of 1312 are 2,41. Prime factorization of 1312 in exponential form is:
1312 = 25×411
∴ So by taking common prime factors GCF of 1308 and 1312 is 4
Factors of 1308
List of positive integer factors of 1308 that divides 1308 without a remainder.
1,2,3,4,6,12,109,218,327,436,654,1308
Factors of 1312
List of positive integer factors of 1312 that divides 1312 without a remainder.
1,2,4,8,16,32,41,82,164,328,656,1312
Greatest Common Factor
We found the factors and prime factorization of 1308 and 1312. The biggest common factor number is the GCF number.
So the greatest common factor 1308 and 1312 is 4.
Also check out the Least Common Multiple of 1308 and 1312
(i) The GCF of 1308 and 1312 is associative
GCF of 1308 and 1312 = GCF of 1312 and 1308
1. What is the GCF of 1308 and 1312?
Answer: GCF of 1308 and 1312 is 4.
2. What are the Factors of 1308?
Answer: Factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308. There are 12 integers that are factors of 1308. The greatest factor of 1308 is 1308.
3. What are the Factors of 1312?
Answer: Factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312. There are 12 integers that are factors of 1312. The greatest factor of 1312 is 1312.
4. How to Find the GCF of 1308 and 1312?
Answer:
Greatest Common Factor of 1308 and 1312 = 4
Step 1: Find the prime factorization of 1308
1308 = 2 x 2 x 3 x 109
Step 2: Find the prime factorization of 1312
1312 = 2 x 2 x 2 x 2 x 2 x 41
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 1308 and 1312 is 4