Greatest Common Factor of 4370 and 4376

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 4370, 4376 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4370 and 4376 is 2.

GCF(4370,4376) = 2

GCF of 4370 and 4376

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

GCF of:
and

Greatest Common Factor of 4370 and 4376

GCF of 4370 and 4376 is 2

Prime Factorization of 4370


2 4370
5 2185
19 437
23 23
1

Prime factors of 4370 are 2,5,19,23. Prime factorization of 4370 in exponential form is:

4370 = 21×51×191×231

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

∴ So by taking common prime factors GCF of 4370 and 4376 is 2

Greatest Common Factor of 4370 and 4376 by matching factors method

Factors of 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370

Factors of 4376

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

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

Greatest Common Factor

We found the factors and prime factorization of 4370 and 4376. The biggest common factor number is the GCF number.
So the greatest common factor 4370 and 4376 is 2.

Also check out the Least Common Multiple of 4370 and 4376

Properties of GCF 4370 and 4376

(i) The GCF of 4370 and 4376 is associative

GCF of 4370 and 4376 = GCF of 4376 and 4370

Related Greatest Common Factor of 4370

Related Greatest Common Factor of 4376

Frequently Asked Questions on GCF of 4370 and 4376

1. What is the GCF of 4370 and 4376?

Answer: GCF of 4370 and 4376 is 2.

2. What are the Factors of 4370?

Answer: Factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370. There are 16 integers that are factors of 4370. The greatest factor of 4370 is 4370.

3. 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.

4. How to Find the GCF of 4370 and 4376?

Answer:

Greatest Common Factor of 4370 and 4376 = 2

Step 1: Find the prime factorization of 4370

4370 = 2 x 5 x 19 x 23

Step 2: Find the prime factorization of 4376

4376 = 2 x 2 x 2 x 547

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 4370 and 4376 is 2