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 310412, 310417 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 310412 and 310417 is 1.
GCF(310412,310417) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 310417
43 | 310417 |
7219 | 7219 |
1 |
Prime factors of 310417 are 43,7219. Prime factorization of 310417 in exponential form is:
310417 = 431×72191
∴ So by taking common prime factors GCF of 310412 and 310417 is 1
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
Factors of 310417
List of positive integer factors of 310417 that divides 310417 without a remainder.
1,43,7219,310417
Greatest Common Factor
We found the factors and prime factorization of 310412 and 310417. The biggest common factor number is the GCF number.
So the greatest common factor 310412 and 310417 is 1.
Also check out the Least Common Multiple of 310412 and 310417
(i) The GCF of 310412 and 310417 is associative
GCF of 310412 and 310417 = GCF of 310417 and 310412
1. What is the GCF of 310412 and 310417?
Answer: GCF of 310412 and 310417 is 1.
2. 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.
3. What are the Factors of 310417?
Answer: Factors of 310417 are 1, 43, 7219, 310417. There are 4 integers that are factors of 310417. The greatest factor of 310417 is 310417.
4. How to Find the GCF of 310412 and 310417?
Answer:
Greatest Common Factor of 310412 and 310417 = 1
Step 1: Find the prime factorization of 310412
310412 = 2 x 2 x 71 x 1093
Step 2: Find the prime factorization of 310417
310417 = 43 x 7219
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 310412 and 310417 is 1