Greatest Common Factor of 4380 and 4383

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, 4383 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4380 and 4383 is 3.

GCF(4380,4383) = 3

GCF of 4380 and 4383

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

GCF of:
and

Greatest Common Factor of 4380 and 4383

GCF of 4380 and 4383 is 3

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 4383


3 4383
3 1461
487 487
1

Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:

4383 = 32×4871

∴ So by taking common prime factors GCF of 4380 and 4383 is 3

Greatest Common Factor of 4380 and 4383 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 4383

List of positive integer factors of 4383 that divides 4383 without a remainder.

1,3,9,487,1461,4383

Greatest Common Factor

We found the factors and prime factorization of 4380 and 4383. The biggest common factor number is the GCF number.
So the greatest common factor 4380 and 4383 is 3.

Also check out the Least Common Multiple of 4380 and 4383

Properties of GCF 4380 and 4383

(i) The GCF of 4380 and 4383 is associative

GCF of 4380 and 4383 = GCF of 4383 and 4380

Related Greatest Common Factor of 4380

Related Greatest Common Factor of 4383

Frequently Asked Questions on GCF of 4380 and 4383

1. What is the GCF of 4380 and 4383?

Answer: GCF of 4380 and 4383 is 3.

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 4383?

Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.

4. How to Find the GCF of 4380 and 4383?

Answer:

Greatest Common Factor of 4380 and 4383 = 3

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 4383

4383 = 3 x 3 x 487

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 4380 and 4383 is 3