Greatest Common Factor of 4376 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 4376, 4380 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4376 and 4380 is 4.

GCF(4376,4380) = 4

GCF of 4376 and 4380

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

GCF of:
and

Greatest Common Factor of 4376 and 4380

GCF of 4376 and 4380 is 4

Prime Factorization of 4376


2 4376
2 2188
2 1094
547 547
1

Prime factors of 4376 are 2,547. Prime factorization of 4376 in exponential form is:

4376 = 23×5471

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 4376 and 4380 is 4

Greatest Common Factor of 4376 and 4380 by matching factors method

Factors of 4376

List of positive integer factors of 4376 that divides 4376 without a remainder.

1,2,4,8,547,1094,2188,4376

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 4376 and 4380. The biggest common factor number is the GCF number.
So the greatest common factor 4376 and 4380 is 4.

Also check out the Least Common Multiple of 4376 and 4380

Properties of GCF 4376 and 4380

(i) The GCF of 4376 and 4380 is associative

GCF of 4376 and 4380 = GCF of 4380 and 4376

Related Greatest Common Factor of 4376

Related Greatest Common Factor of 4380

Frequently Asked Questions on GCF of 4376 and 4380

1. What is the GCF of 4376 and 4380?

Answer: GCF of 4376 and 4380 is 4.

2. What are the Factors of 4376?

Answer: Factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376. There are 8 integers that are factors of 4376. The greatest factor of 4376 is 4376.

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 4376 and 4380?

Answer:

Greatest Common Factor of 4376 and 4380 = 4

Step 1: Find the prime factorization of 4376

4376 = 2 x 2 x 2 x 547

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 4376 and 4380 is 4