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 310407, 310412 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 310407 and 310412 is 1.
GCF(310407,310412) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 310407
3 | 310407 |
107 | 103469 |
967 | 967 |
1 |
Prime factors of 310407 are 3,107,967. Prime factorization of 310407 in exponential form is:
310407 = 31×1071×9671
Prime Factorization of 310412
2 | 310412 |
2 | 155206 |
71 | 77603 |
1093 | 1093 |
1 |
Prime factors of 310412 are 2,71,1093. Prime factorization of 310412 in exponential form is:
310412 = 22×711×10931
∴ So by taking common prime factors GCF of 310407 and 310412 is 1
Factors of 310407
List of positive integer factors of 310407 that divides 310407 without a remainder.
1,3,107,321,967,2901,103469,310407
Factors of 310412
List of positive integer factors of 310412 that divides 310412 without a remainder.
1,2,4,71,142,284,1093,2186,4372,77603,155206,310412
Greatest Common Factor
We found the factors and prime factorization of 310407 and 310412. The biggest common factor number is the GCF number.
So the greatest common factor 310407 and 310412 is 1.
Also check out the Least Common Multiple of 310407 and 310412
(i) The GCF of 310407 and 310412 is associative
GCF of 310407 and 310412 = GCF of 310412 and 310407
1. What is the GCF of 310407 and 310412?
Answer: GCF of 310407 and 310412 is 1.
2. What are the Factors of 310407?
Answer: Factors of 310407 are 1, 3, 107, 321, 967, 2901, 103469, 310407. There are 8 integers that are factors of 310407. The greatest factor of 310407 is 310407.
3. What are the Factors of 310412?
Answer: Factors of 310412 are 1, 2, 4, 71, 142, 284, 1093, 2186, 4372, 77603, 155206, 310412. There are 12 integers that are factors of 310412. The greatest factor of 310412 is 310412.
4. How to Find the GCF of 310407 and 310412?
Answer:
Greatest Common Factor of 310407 and 310412 = 1
Step 1: Find the prime factorization of 310407
310407 = 3 x 107 x 967
Step 2: Find the prime factorization of 310412
310412 = 2 x 2 x 71 x 1093
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 310407 and 310412 is 1