Greatest Common Factor of 4380 and 4385

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

GCF of 4380 and 4385

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4380 and 4385

GCF of 4380 and 4385 is 5

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

Greatest Common Factor of 4380 and 4385 by matching factors method

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

Properties of GCF 4380 and 4385

(i) The GCF of 4380 and 4385 is associative

GCF of 4380 and 4385 = GCF of 4385 and 4380

Frequently Asked Questions on GCF of 4380 and 4385

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