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 307434, 307442 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 307434 and 307442 is 2.
GCF(307434,307442) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 307434
2 | 307434 |
3 | 153717 |
51239 | 51239 |
1 |
Prime factors of 307434 are 2,3,51239. Prime factorization of 307434 in exponential form is:
307434 = 21×31×512391
Prime Factorization of 307442
2 | 307442 |
347 | 153721 |
443 | 443 |
1 |
Prime factors of 307442 are 2,347,443. Prime factorization of 307442 in exponential form is:
307442 = 21×3471×4431
∴ So by taking common prime factors GCF of 307434 and 307442 is 2
Factors of 307434
List of positive integer factors of 307434 that divides 307434 without a remainder.
1,2,3,6,51239,102478,153717,307434
Factors of 307442
List of positive integer factors of 307442 that divides 307442 without a remainder.
1,2,347,443,694,886,153721,307442
Greatest Common Factor
We found the factors and prime factorization of 307434 and 307442. The biggest common factor number is the GCF number.
So the greatest common factor 307434 and 307442 is 2.
Also check out the Least Common Multiple of 307434 and 307442
(i) The GCF of 307434 and 307442 is associative
GCF of 307434 and 307442 = GCF of 307442 and 307434
1. What is the GCF of 307434 and 307442?
Answer: GCF of 307434 and 307442 is 2.
2. What are the Factors of 307434?
Answer: Factors of 307434 are 1, 2, 3, 6, 51239, 102478, 153717, 307434. There are 8 integers that are factors of 307434. The greatest factor of 307434 is 307434.
3. What are the Factors of 307442?
Answer: Factors of 307442 are 1, 2, 347, 443, 694, 886, 153721, 307442. There are 8 integers that are factors of 307442. The greatest factor of 307442 is 307442.
4. How to Find the GCF of 307434 and 307442?
Answer:
Greatest Common Factor of 307434 and 307442 = 2
Step 1: Find the prime factorization of 307434
307434 = 2 x 3 x 51239
Step 2: Find the prime factorization of 307442
307442 = 2 x 347 x 443
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 307434 and 307442 is 2