Greatest Common Factor of 4371 and 4377

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 4371, 4377 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4371 and 4377 is 3.

GCF(4371,4377) = 3

GCF of 4371 and 4377

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

GCF of:
and

Greatest Common Factor of 4371 and 4377

GCF of 4371 and 4377 is 3

Prime Factorization of 4371


3 4371
31 1457
47 47
1

Prime factors of 4371 are 3,31,47. Prime factorization of 4371 in exponential form is:

4371 = 31×311×471

Prime Factorization of 4377


3 4377
1459 1459
1

Prime factors of 4377 are 3,1459. Prime factorization of 4377 in exponential form is:

4377 = 31×14591

∴ So by taking common prime factors GCF of 4371 and 4377 is 3

Greatest Common Factor of 4371 and 4377 by matching factors method

Factors of 4371

List of positive integer factors of 4371 that divides 4371 without a remainder.

1,3,31,47,93,141,1457,4371

Factors of 4377

List of positive integer factors of 4377 that divides 4377 without a remainder.

1,3,1459,4377

Greatest Common Factor

We found the factors and prime factorization of 4371 and 4377. The biggest common factor number is the GCF number.
So the greatest common factor 4371 and 4377 is 3.

Also check out the Least Common Multiple of 4371 and 4377

Properties of GCF 4371 and 4377

(i) The GCF of 4371 and 4377 is associative

GCF of 4371 and 4377 = GCF of 4377 and 4371

Related Greatest Common Factor of 4371

Related Greatest Common Factor of 4377

Frequently Asked Questions on GCF of 4371 and 4377

1. What is the GCF of 4371 and 4377?

Answer: GCF of 4371 and 4377 is 3.

2. What are the Factors of 4371?

Answer: Factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371. There are 8 integers that are factors of 4371. The greatest factor of 4371 is 4371.

3. What are the Factors of 4377?

Answer: Factors of 4377 are 1, 3, 1459, 4377. There are 4 integers that are factors of 4377. The greatest factor of 4377 is 4377.

4. How to Find the GCF of 4371 and 4377?

Answer:

Greatest Common Factor of 4371 and 4377 = 3

Step 1: Find the prime factorization of 4371

4371 = 3 x 31 x 47

Step 2: Find the prime factorization of 4377

4377 = 3 x 1459

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 4371 and 4377 is 3