Greatest Common Factor of 4376 and 4384

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, 4384 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4376 and 4384 is 8.

GCF(4376,4384) = 8

GCF of 4376 and 4384

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

GCF of:
and

Greatest Common Factor of 4376 and 4384

GCF of 4376 and 4384 is 8

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 4384


2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 4384 are 2,137. Prime factorization of 4384 in exponential form is:

4384 = 25×1371

∴ So by taking common prime factors GCF of 4376 and 4384 is 8

Greatest Common Factor of 4376 and 4384 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 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1,2,4,8,16,32,137,274,548,1096,2192,4384

Greatest Common Factor

We found the factors and prime factorization of 4376 and 4384. The biggest common factor number is the GCF number.
So the greatest common factor 4376 and 4384 is 8.

Also check out the Least Common Multiple of 4376 and 4384

Properties of GCF 4376 and 4384

(i) The GCF of 4376 and 4384 is associative

GCF of 4376 and 4384 = GCF of 4384 and 4376

Related Greatest Common Factor of 4376

Related Greatest Common Factor of 4384

Frequently Asked Questions on GCF of 4376 and 4384

1. What is the GCF of 4376 and 4384?

Answer: GCF of 4376 and 4384 is 8.

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 4384?

Answer: Factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. There are 12 integers that are factors of 4384. The greatest factor of 4384 is 4384.

4. How to Find the GCF of 4376 and 4384?

Answer:

Greatest Common Factor of 4376 and 4384 = 8

Step 1: Find the prime factorization of 4376

4376 = 2 x 2 x 2 x 547

Step 2: Find the prime factorization of 4384

4384 = 2 x 2 x 2 x 2 x 2 x 137

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4376 and 4384 is 8