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 4380, 4385 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4380 and 4385 is 5.
GCF(4380,4385) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4380
2 | 4380 |
2 | 2190 |
3 | 1095 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 4380 are 2,3,5,73. Prime factorization of 4380 in exponential form is:
4380 = 22×31×51×731
Prime Factorization of 4385
5 | 4385 |
877 | 877 |
1 |
Prime factors of 4385 are 5,877. Prime factorization of 4385 in exponential form is:
4385 = 51×8771
∴ So by taking common prime factors GCF of 4380 and 4385 is 5
Factors of 4380
List of positive integer factors of 4380 that divides 4380 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380
Factors of 4385
List of positive integer factors of 4385 that divides 4385 without a remainder.
1,5,877,4385
Greatest Common Factor
We found the factors and prime factorization of 4380 and 4385. The biggest common factor number is the GCF number.
So the greatest common factor 4380 and 4385 is 5.
Also check out the Least Common Multiple of 4380 and 4385
(i) The GCF of 4380 and 4385 is associative
GCF of 4380 and 4385 = GCF of 4385 and 4380
1. What is the GCF of 4380 and 4385?
Answer: GCF of 4380 and 4385 is 5.
2. What are the Factors of 4380?
Answer: Factors of 4380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380. There are 24 integers that are factors of 4380. The greatest factor of 4380 is 4380.
3. What are the Factors of 4385?
Answer: Factors of 4385 are 1, 5, 877, 4385. There are 4 integers that are factors of 4385. The greatest factor of 4385 is 4385.
4. How to Find the GCF of 4380 and 4385?
Answer:
Greatest Common Factor of 4380 and 4385 = 5
Step 1: Find the prime factorization of 4380
4380 = 2 x 2 x 3 x 5 x 73
Step 2: Find the prime factorization of 4385
4385 = 5 x 877
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 4380 and 4385 is 5