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, 307424 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 307419 and 307424 is 1.
GCF(307419,307424) = 1
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 307424
2 | 307424 |
2 | 153712 |
2 | 76856 |
2 | 38428 |
2 | 19214 |
13 | 9607 |
739 | 739 |
1 |
Prime factors of 307424 are 2,13,739. Prime factorization of 307424 in exponential form is:
307424 = 25×131×7391
∴ So by taking common prime factors GCF of 307419 and 307424 is 1
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 307424
List of positive integer factors of 307424 that divides 307424 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416,739,1478,2956,5912,9607,11824,19214,23648,38428,76856,153712,307424
Greatest Common Factor
We found the factors and prime factorization of 307419 and 307424. The biggest common factor number is the GCF number.
So the greatest common factor 307419 and 307424 is 1.
Also check out the Least Common Multiple of 307419 and 307424
(i) The GCF of 307419 and 307424 is associative
GCF of 307419 and 307424 = GCF of 307424 and 307419
1. What is the GCF of 307419 and 307424?
Answer: GCF of 307419 and 307424 is 1.
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 307424?
Answer: Factors of 307424 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416, 739, 1478, 2956, 5912, 9607, 11824, 19214, 23648, 38428, 76856, 153712, 307424. There are 24 integers that are factors of 307424. The greatest factor of 307424 is 307424.
4. How to Find the GCF of 307419 and 307424?
Answer:
Greatest Common Factor of 307419 and 307424 = 1
Step 1: Find the prime factorization of 307419
307419 = 3 x 7 x 14639
Step 2: Find the prime factorization of 307424
307424 = 2 x 2 x 2 x 2 x 2 x 13 x 739
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 307419 and 307424 is 1