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 360, 368 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 360 and 368 is 8.
GCF(360,368) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 360
2 | 360 |
2 | 180 |
2 | 90 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 360 are 2,3,5. Prime factorization of 360 in exponential form is:
360 = 23×32×51
Prime Factorization of 368
2 | 368 |
2 | 184 |
2 | 92 |
2 | 46 |
23 | 23 |
1 |
Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:
368 = 24×231
∴ So by taking common prime factors GCF of 360 and 368 is 8
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors and prime factorization of 360 and 368. The biggest common factor number is the GCF number.
So the greatest common factor 360 and 368 is 8.
Also check out the Least Common Multiple of 360 and 368
(i) The GCF of 360 and 368 is associative
GCF of 360 and 368 = GCF of 368 and 360
1. What is the GCF of 360 and 368?
Answer: GCF of 360 and 368 is 8.
2. What are the Factors of 360?
Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.
3. What are the Factors of 368?
Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.
4. How to Find the GCF of 360 and 368?
Answer:
Greatest Common Factor of 360 and 368 = 8
Step 1: Find the prime factorization of 360
360 = 2 x 2 x 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 368
368 = 2 x 2 x 2 x 2 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 360 and 368 is 8