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 310429, 310430 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 310429 and 310430 is 1.
GCF(310429,310430) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 310429
7 | 310429 |
61 | 44347 |
727 | 727 |
1 |
Prime factors of 310429 are 7,61,727. Prime factorization of 310429 in exponential form is:
310429 = 71×611×7271
Prime Factorization of 310430
2 | 310430 |
5 | 155215 |
37 | 31043 |
839 | 839 |
1 |
Prime factors of 310430 are 2,5,37,839. Prime factorization of 310430 in exponential form is:
310430 = 21×51×371×8391
∴ So by taking common prime factors GCF of 310429 and 310430 is 1
Factors of 310429
List of positive integer factors of 310429 that divides 310429 without a remainder.
1,7,61,427,727,5089,44347,310429
Factors of 310430
List of positive integer factors of 310430 that divides 310430 without a remainder.
1,2,5,10,37,74,185,370,839,1678,4195,8390,31043,62086,155215,310430
Greatest Common Factor
We found the factors and prime factorization of 310429 and 310430. The biggest common factor number is the GCF number.
So the greatest common factor 310429 and 310430 is 1.
Also check out the Least Common Multiple of 310429 and 310430
(i) The GCF of 310429 and 310430 is associative
GCF of 310429 and 310430 = GCF of 310430 and 310429
1. What is the GCF of 310429 and 310430?
Answer: GCF of 310429 and 310430 is 1.
2. What are the Factors of 310429?
Answer: Factors of 310429 are 1, 7, 61, 427, 727, 5089, 44347, 310429. There are 8 integers that are factors of 310429. The greatest factor of 310429 is 310429.
3. What are the Factors of 310430?
Answer: Factors of 310430 are 1, 2, 5, 10, 37, 74, 185, 370, 839, 1678, 4195, 8390, 31043, 62086, 155215, 310430. There are 16 integers that are factors of 310430. The greatest factor of 310430 is 310430.
4. How to Find the GCF of 310429 and 310430?
Answer:
Greatest Common Factor of 310429 and 310430 = 1
Step 1: Find the prime factorization of 310429
310429 = 7 x 61 x 727
Step 2: Find the prime factorization of 310430
310430 = 2 x 5 x 37 x 839
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 310429 and 310430 is 1