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 307419, 307425 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 307419 and 307425 is 3.
GCF(307419,307425) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 307419
3 | 307419 |
7 | 102473 |
14639 | 14639 |
1 |
Prime factors of 307419 are 3,7,14639. Prime factorization of 307419 in exponential form is:
307419 = 31×71×146391
Prime Factorization of 307425
3 | 307425 |
5 | 102475 |
5 | 20495 |
4099 | 4099 |
1 |
Prime factors of 307425 are 3,5,4099. Prime factorization of 307425 in exponential form is:
307425 = 31×52×40991
∴ So by taking common prime factors GCF of 307419 and 307425 is 3
Factors of 307419
List of positive integer factors of 307419 that divides 307419 without a remainder.
1,3,7,21,14639,43917,102473,307419
Factors of 307425
List of positive integer factors of 307425 that divides 307425 without a remainder.
1,3,5,15,25,75,4099,12297,20495,61485,102475,307425
Greatest Common Factor
We found the factors and prime factorization of 307419 and 307425. The biggest common factor number is the GCF number.
So the greatest common factor 307419 and 307425 is 3.
Also check out the Least Common Multiple of 307419 and 307425
(i) The GCF of 307419 and 307425 is associative
GCF of 307419 and 307425 = GCF of 307425 and 307419
1. What is the GCF of 307419 and 307425?
Answer: GCF of 307419 and 307425 is 3.
2. What are the Factors of 307419?
Answer: Factors of 307419 are 1, 3, 7, 21, 14639, 43917, 102473, 307419. There are 8 integers that are factors of 307419. The greatest factor of 307419 is 307419.
3. What are the Factors of 307425?
Answer: Factors of 307425 are 1, 3, 5, 15, 25, 75, 4099, 12297, 20495, 61485, 102475, 307425. There are 12 integers that are factors of 307425. The greatest factor of 307425 is 307425.
4. How to Find the GCF of 307419 and 307425?
Answer:
Greatest Common Factor of 307419 and 307425 = 3
Step 1: Find the prime factorization of 307419
307419 = 3 x 7 x 14639
Step 2: Find the prime factorization of 307425
307425 = 3 x 5 x 5 x 4099
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 307419 and 307425 is 3