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 307438, 307444 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 307438 and 307444 is 2.
GCF(307438,307444) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 307438
2 | 307438 |
153719 | 153719 |
1 |
Prime factors of 307438 are 2,153719. Prime factorization of 307438 in exponential form is:
307438 = 21×1537191
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 307438 and 307444 is 2
Factors of 307438
List of positive integer factors of 307438 that divides 307438 without a remainder.
1,2,153719,307438
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 307438 and 307444. The biggest common factor number is the GCF number.
So the greatest common factor 307438 and 307444 is 2.
Also check out the Least Common Multiple of 307438 and 307444
(i) The GCF of 307438 and 307444 is associative
GCF of 307438 and 307444 = GCF of 307444 and 307438
1. What is the GCF of 307438 and 307444?
Answer: GCF of 307438 and 307444 is 2.
2. What are the Factors of 307438?
Answer: Factors of 307438 are 1, 2, 153719, 307438. There are 4 integers that are factors of 307438. The greatest factor of 307438 is 307438.
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 307438 and 307444?
Answer:
Greatest Common Factor of 307438 and 307444 = 2
Step 1: Find the prime factorization of 307438
307438 = 2 x 153719
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
Step 4: Therefore, the greatest common factor of 307438 and 307444 is 2