Greatest Common Factor of 4424 and 4432

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, 4432 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4424 and 4432 is 8.

GCF(4424,4432) = 8

GCF of 4424 and 4432

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

GCF of:
and

Greatest Common Factor of 4424 and 4432

GCF of 4424 and 4432 is 8

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 4432


2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 4432 are 2,277. Prime factorization of 4432 in exponential form is:

4432 = 24×2771

∴ So by taking common prime factors GCF of 4424 and 4432 is 8

Greatest Common Factor of 4424 and 4432 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 4432

List of positive integer factors of 4432 that divides 4432 without a remainder.

1,2,4,8,16,277,554,1108,2216,4432

Greatest Common Factor

We found the factors and prime factorization of 4424 and 4432. The biggest common factor number is the GCF number.
So the greatest common factor 4424 and 4432 is 8.

Also check out the Least Common Multiple of 4424 and 4432

Properties of GCF 4424 and 4432

(i) The GCF of 4424 and 4432 is associative

GCF of 4424 and 4432 = GCF of 4432 and 4424

Related Greatest Common Factor of 4424

Related Greatest Common Factor of 4432

Frequently Asked Questions on GCF of 4424 and 4432

1. What is the GCF of 4424 and 4432?

Answer: GCF of 4424 and 4432 is 8.

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 4432?

Answer: Factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432. There are 10 integers that are factors of 4432. The greatest factor of 4432 is 4432.

4. How to Find the GCF of 4424 and 4432?

Answer:

Greatest Common Factor of 4424 and 4432 = 8

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 4432

4432 = 2 x 2 x 2 x 2 x 277

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4424 and 4432 is 8