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 7377, 7380 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7377 and 7380 is 3.
GCF(7377,7380) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7377
3 | 7377 |
2459 | 2459 |
1 |
Prime factors of 7377 are 3,2459. Prime factorization of 7377 in exponential form is:
7377 = 31×24591
Prime Factorization of 7380
2 | 7380 |
2 | 3690 |
3 | 1845 |
3 | 615 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 7380 are 2,3,5,41. Prime factorization of 7380 in exponential form is:
7380 = 22×32×51×411
∴ So by taking common prime factors GCF of 7377 and 7380 is 3
Factors of 7377
List of positive integer factors of 7377 that divides 7377 without a remainder.
1,3,2459,7377
Factors of 7380
List of positive integer factors of 7380 that divides 7380 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380
Greatest Common Factor
We found the factors and prime factorization of 7377 and 7380. The biggest common factor number is the GCF number.
So the greatest common factor 7377 and 7380 is 3.
Also check out the Least Common Multiple of 7377 and 7380
(i) The GCF of 7377 and 7380 is associative
GCF of 7377 and 7380 = GCF of 7380 and 7377
1. What is the GCF of 7377 and 7380?
Answer: GCF of 7377 and 7380 is 3.
2. What are the Factors of 7377?
Answer: Factors of 7377 are 1, 3, 2459, 7377. There are 4 integers that are factors of 7377. The greatest factor of 7377 is 7377.
3. What are the Factors of 7380?
Answer: Factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380. There are 36 integers that are factors of 7380. The greatest factor of 7380 is 7380.
4. How to Find the GCF of 7377 and 7380?
Answer:
Greatest Common Factor of 7377 and 7380 = 3
Step 1: Find the prime factorization of 7377
7377 = 3 x 2459
Step 2: Find the prime factorization of 7380
7380 = 2 x 2 x 3 x 3 x 5 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7377 and 7380 is 3