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 300, 302 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 300 and 302 is 2.
GCF(300,302) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 300
2 | 300 |
2 | 150 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 300 are 2,3,5. Prime factorization of 300 in exponential form is:
300 = 22×31×52
Prime Factorization of 302
2 | 302 |
151 | 151 |
1 |
Prime factors of 302 are 2,151. Prime factorization of 302 in exponential form is:
302 = 21×1511
∴ So by taking common prime factors GCF of 300 and 302 is 2
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors and prime factorization of 300 and 302. The biggest common factor number is the GCF number.
So the greatest common factor 300 and 302 is 2.
Also check out the Least Common Multiple of 300 and 302
(i) The GCF of 300 and 302 is associative
GCF of 300 and 302 = GCF of 302 and 300
1. What is the GCF of 300 and 302?
Answer: GCF of 300 and 302 is 2.
2. What are the Factors of 300?
Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.
3. What are the Factors of 302?
Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.
4. How to Find the GCF of 300 and 302?
Answer:
Greatest Common Factor of 300 and 302 = 2
Step 1: Find the prime factorization of 300
300 = 2 x 2 x 3 x 5 x 5
Step 2: Find the prime factorization of 302
302 = 2 x 151
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 300 and 302 is 2