Greatest Common Factor of 4374 and 4379

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 4374, 4379 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4374 and 4379 is 1.

GCF(4374,4379) = 1

GCF of 4374 and 4379

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

GCF of:
and

Greatest Common Factor of 4374 and 4379

GCF of 4374 and 4379 is 1

Prime Factorization of 4374


2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 4374 are 2,3. Prime factorization of 4374 in exponential form is:

4374 = 21×37

Prime Factorization of 4379


29 4379
151 151
1

Prime factors of 4379 are 29,151. Prime factorization of 4379 in exponential form is:

4379 = 291×1511

∴ So by taking common prime factors GCF of 4374 and 4379 is 1

Greatest Common Factor of 4374 and 4379 by matching factors method

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Factors of 4379

List of positive integer factors of 4379 that divides 4379 without a remainder.

1,29,151,4379

Greatest Common Factor

We found the factors and prime factorization of 4374 and 4379. The biggest common factor number is the GCF number.
So the greatest common factor 4374 and 4379 is 1.

Also check out the Least Common Multiple of 4374 and 4379

Properties of GCF 4374 and 4379

(i) The GCF of 4374 and 4379 is associative

GCF of 4374 and 4379 = GCF of 4379 and 4374

Frequently Asked Questions on GCF of 4374 and 4379

1. What is the GCF of 4374 and 4379?

Answer: GCF of 4374 and 4379 is 1.

2. What are the Factors of 4374?

Answer: Factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. There are 16 integers that are factors of 4374. The greatest factor of 4374 is 4374.

3. What are the Factors of 4379?

Answer: Factors of 4379 are 1, 29, 151, 4379. There are 4 integers that are factors of 4379. The greatest factor of 4379 is 4379.

4. How to Find the GCF of 4374 and 4379?

Answer:

Greatest Common Factor of 4374 and 4379 = 1

Step 1: Find the prime factorization of 4374

4374 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 4379

4379 = 29 x 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4374 and 4379 is 1