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 311423, 311428 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 311423 and 311428 is 1.
GCF(311423,311428) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 311423
7 | 311423 |
17 | 44489 |
2617 | 2617 |
1 |
Prime factors of 311423 are 7,17,2617. Prime factorization of 311423 in exponential form is:
311423 = 71×171×26171
Prime Factorization of 311428
2 | 311428 |
2 | 155714 |
13 | 77857 |
53 | 5989 |
113 | 113 |
1 |
Prime factors of 311428 are 2,13,53,113. Prime factorization of 311428 in exponential form is:
311428 = 22×131×531×1131
∴ So by taking common prime factors GCF of 311423 and 311428 is 1
Factors of 311423
List of positive integer factors of 311423 that divides 311423 without a remainder.
1,7,17,119,2617,18319,44489,311423
Factors of 311428
List of positive integer factors of 311428 that divides 311428 without a remainder.
1,2,4,13,26,52,53,106,113,212,226,452,689,1378,1469,2756,2938,5876,5989,11978,23956,77857,155714,311428
Greatest Common Factor
We found the factors and prime factorization of 311423 and 311428. The biggest common factor number is the GCF number.
So the greatest common factor 311423 and 311428 is 1.
Also check out the Least Common Multiple of 311423 and 311428
(i) The GCF of 311423 and 311428 is associative
GCF of 311423 and 311428 = GCF of 311428 and 311423
1. What is the GCF of 311423 and 311428?
Answer: GCF of 311423 and 311428 is 1.
2. What are the Factors of 311423?
Answer: Factors of 311423 are 1, 7, 17, 119, 2617, 18319, 44489, 311423. There are 8 integers that are factors of 311423. The greatest factor of 311423 is 311423.
3. What are the Factors of 311428?
Answer: Factors of 311428 are 1, 2, 4, 13, 26, 52, 53, 106, 113, 212, 226, 452, 689, 1378, 1469, 2756, 2938, 5876, 5989, 11978, 23956, 77857, 155714, 311428. There are 24 integers that are factors of 311428. The greatest factor of 311428 is 311428.
4. How to Find the GCF of 311423 and 311428?
Answer:
Greatest Common Factor of 311423 and 311428 = 1
Step 1: Find the prime factorization of 311423
311423 = 7 x 17 x 2617
Step 2: Find the prime factorization of 311428
311428 = 2 x 2 x 13 x 53 x 113
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 311423 and 311428 is 1