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 307407, 307408 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 307407 and 307408 is 1.
GCF(307407,307408) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 307407
3 | 307407 |
43 | 102469 |
2383 | 2383 |
1 |
Prime factors of 307407 are 3,43,2383. Prime factorization of 307407 in exponential form is:
307407 = 31×431×23831
Prime Factorization of 307408
2 | 307408 |
2 | 153704 |
2 | 76852 |
2 | 38426 |
19213 | 19213 |
1 |
Prime factors of 307408 are 2,19213. Prime factorization of 307408 in exponential form is:
307408 = 24×192131
∴ So by taking common prime factors GCF of 307407 and 307408 is 1
Factors of 307407
List of positive integer factors of 307407 that divides 307407 without a remainder.
1,3,43,129,2383,7149,102469,307407
Factors of 307408
List of positive integer factors of 307408 that divides 307408 without a remainder.
1,2,4,8,16,19213,38426,76852,153704,307408
Greatest Common Factor
We found the factors and prime factorization of 307407 and 307408. The biggest common factor number is the GCF number.
So the greatest common factor 307407 and 307408 is 1.
Also check out the Least Common Multiple of 307407 and 307408
(i) The GCF of 307407 and 307408 is associative
GCF of 307407 and 307408 = GCF of 307408 and 307407
1. What is the GCF of 307407 and 307408?
Answer: GCF of 307407 and 307408 is 1.
2. What are the Factors of 307407?
Answer: Factors of 307407 are 1, 3, 43, 129, 2383, 7149, 102469, 307407. There are 8 integers that are factors of 307407. The greatest factor of 307407 is 307407.
3. What are the Factors of 307408?
Answer: Factors of 307408 are 1, 2, 4, 8, 16, 19213, 38426, 76852, 153704, 307408. There are 10 integers that are factors of 307408. The greatest factor of 307408 is 307408.
4. How to Find the GCF of 307407 and 307408?
Answer:
Greatest Common Factor of 307407 and 307408 = 1
Step 1: Find the prime factorization of 307407
307407 = 3 x 43 x 2383
Step 2: Find the prime factorization of 307408
307408 = 2 x 2 x 2 x 2 x 19213
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 307407 and 307408 is 1