Greatest Common Factor of 4419 and 4425

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 4419, 4425 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4419 and 4425 is 3.

GCF(4419,4425) = 3

GCF of 4419 and 4425

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

GCF of:
and

Greatest Common Factor of 4419 and 4425

GCF of 4419 and 4425 is 3

Prime Factorization of 4419


3 4419
3 1473
491 491
1

Prime factors of 4419 are 3,491. Prime factorization of 4419 in exponential form is:

4419 = 32×4911

Prime Factorization of 4425


3 4425
5 1475
5 295
59 59
1

Prime factors of 4425 are 3,5,59. Prime factorization of 4425 in exponential form is:

4425 = 31×52×591

∴ So by taking common prime factors GCF of 4419 and 4425 is 3

Greatest Common Factor of 4419 and 4425 by matching factors method

Factors of 4419

List of positive integer factors of 4419 that divides 4419 without a remainder.

1,3,9,491,1473,4419

Factors of 4425

List of positive integer factors of 4425 that divides 4425 without a remainder.

1,3,5,15,25,59,75,177,295,885,1475,4425

Greatest Common Factor

We found the factors and prime factorization of 4419 and 4425. The biggest common factor number is the GCF number.
So the greatest common factor 4419 and 4425 is 3.

Also check out the Least Common Multiple of 4419 and 4425

Properties of GCF 4419 and 4425

(i) The GCF of 4419 and 4425 is associative

GCF of 4419 and 4425 = GCF of 4425 and 4419

Related Greatest Common Factor of 4419

Related Greatest Common Factor of 4425

Frequently Asked Questions on GCF of 4419 and 4425

1. What is the GCF of 4419 and 4425?

Answer: GCF of 4419 and 4425 is 3.

2. What are the Factors of 4419?

Answer: Factors of 4419 are 1, 3, 9, 491, 1473, 4419. There are 6 integers that are factors of 4419. The greatest factor of 4419 is 4419.

3. What are the Factors of 4425?

Answer: Factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425. There are 12 integers that are factors of 4425. The greatest factor of 4425 is 4425.

4. How to Find the GCF of 4419 and 4425?

Answer:

Greatest Common Factor of 4419 and 4425 = 3

Step 1: Find the prime factorization of 4419

4419 = 3 x 3 x 491

Step 2: Find the prime factorization of 4425

4425 = 3 x 5 x 5 x 59

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 4419 and 4425 is 3