Greatest Common Factor of 4378 and 4380

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 4378, 4380 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4378 and 4380 is 2.

GCF(4378,4380) = 2

GCF of 4378 and 4380

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

GCF of:
and

Greatest Common Factor of 4378 and 4380

GCF of 4378 and 4380 is 2

Prime Factorization of 4378


2 4378
11 2189
199 199
1

Prime factors of 4378 are 2,11,199. Prime factorization of 4378 in exponential form is:

4378 = 21×111×1991

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

∴ So by taking common prime factors GCF of 4378 and 4380 is 2

Greatest Common Factor of 4378 and 4380 by matching factors method

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1,2,11,22,199,398,2189,4378

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

Greatest Common Factor

We found the factors and prime factorization of 4378 and 4380. The biggest common factor number is the GCF number.
So the greatest common factor 4378 and 4380 is 2.

Also check out the Least Common Multiple of 4378 and 4380

Properties of GCF 4378 and 4380

(i) The GCF of 4378 and 4380 is associative

GCF of 4378 and 4380 = GCF of 4380 and 4378

Related Greatest Common Factor of 4378

Related Greatest Common Factor of 4380

Frequently Asked Questions on GCF of 4378 and 4380

1. What is the GCF of 4378 and 4380?

Answer: GCF of 4378 and 4380 is 2.

2. What are the Factors of 4378?

Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.

3. 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.

4. How to Find the GCF of 4378 and 4380?

Answer:

Greatest Common Factor of 4378 and 4380 = 2

Step 1: Find the prime factorization of 4378

4378 = 2 x 11 x 199

Step 2: Find the prime factorization of 4380

4380 = 2 x 2 x 3 x 5 x 73

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4378 and 4380 is 2