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 307436, 307444 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 307436 and 307444 is 4.
GCF(307436,307444) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 307436
2 | 307436 |
2 | 153718 |
151 | 76859 |
509 | 509 |
1 |
Prime factors of 307436 are 2,151,509. Prime factorization of 307436 in exponential form is:
307436 = 22×1511×5091
Prime Factorization of 307444
2 | 307444 |
2 | 153722 |
101 | 76861 |
761 | 761 |
1 |
Prime factors of 307444 are 2,101,761. Prime factorization of 307444 in exponential form is:
307444 = 22×1011×7611
∴ So by taking common prime factors GCF of 307436 and 307444 is 4
Factors of 307436
List of positive integer factors of 307436 that divides 307436 without a remainder.
1,2,4,151,302,509,604,1018,2036,76859,153718,307436
Factors of 307444
List of positive integer factors of 307444 that divides 307444 without a remainder.
1,2,4,101,202,404,761,1522,3044,76861,153722,307444
Greatest Common Factor
We found the factors and prime factorization of 307436 and 307444. The biggest common factor number is the GCF number.
So the greatest common factor 307436 and 307444 is 4.
Also check out the Least Common Multiple of 307436 and 307444
(i) The GCF of 307436 and 307444 is associative
GCF of 307436 and 307444 = GCF of 307444 and 307436
1. What is the GCF of 307436 and 307444?
Answer: GCF of 307436 and 307444 is 4.
2. What are the Factors of 307436?
Answer: Factors of 307436 are 1, 2, 4, 151, 302, 509, 604, 1018, 2036, 76859, 153718, 307436. There are 12 integers that are factors of 307436. The greatest factor of 307436 is 307436.
3. What are the Factors of 307444?
Answer: Factors of 307444 are 1, 2, 4, 101, 202, 404, 761, 1522, 3044, 76861, 153722, 307444. There are 12 integers that are factors of 307444. The greatest factor of 307444 is 307444.
4. How to Find the GCF of 307436 and 307444?
Answer:
Greatest Common Factor of 307436 and 307444 = 4
Step 1: Find the prime factorization of 307436
307436 = 2 x 2 x 151 x 509
Step 2: Find the prime factorization of 307444
307444 = 2 x 2 x 101 x 761
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 307436 and 307444 is 4