Greatest Common Factor of 4424 and 4431

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 4424, 4431 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4424 and 4431 is 7.

GCF(4424,4431) = 7

GCF of 4424 and 4431

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

GCF of:
and

Greatest Common Factor of 4424 and 4431

GCF of 4424 and 4431 is 7

Prime Factorization of 4424


2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 4424 are 2,7,79. Prime factorization of 4424 in exponential form is:

4424 = 23×71×791

Prime Factorization of 4431


3 4431
7 1477
211 211
1

Prime factors of 4431 are 3,7,211. Prime factorization of 4431 in exponential form is:

4431 = 31×71×2111

∴ So by taking common prime factors GCF of 4424 and 4431 is 7

Greatest Common Factor of 4424 and 4431 by matching factors method

Factors of 4424

List of positive integer factors of 4424 that divides 4424 without a remainder.

1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424

Factors of 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1,3,7,21,211,633,1477,4431

Greatest Common Factor

We found the factors and prime factorization of 4424 and 4431. The biggest common factor number is the GCF number.
So the greatest common factor 4424 and 4431 is 7.

Also check out the Least Common Multiple of 4424 and 4431

Properties of GCF 4424 and 4431

(i) The GCF of 4424 and 4431 is associative

GCF of 4424 and 4431 = GCF of 4431 and 4424

Related Greatest Common Factor of 4424

Related Greatest Common Factor of 4431

Frequently Asked Questions on GCF of 4424 and 4431

1. What is the GCF of 4424 and 4431?

Answer: GCF of 4424 and 4431 is 7.

2. What are the Factors of 4424?

Answer: Factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424. There are 16 integers that are factors of 4424. The greatest factor of 4424 is 4424.

3. What are the Factors of 4431?

Answer: Factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431. There are 8 integers that are factors of 4431. The greatest factor of 4431 is 4431.

4. How to Find the GCF of 4424 and 4431?

Answer:

Greatest Common Factor of 4424 and 4431 = 7

Step 1: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

Step 2: Find the prime factorization of 4431

4431 = 3 x 7 x 211

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4424 and 4431 is 7