Greatest Common Factor of 4424 and 4429

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, 4429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4424 and 4429 is 1.

GCF(4424,4429) = 1

GCF of 4424 and 4429

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

GCF of:
and

Greatest Common Factor of 4424 and 4429

GCF of 4424 and 4429 is 1

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 4429


43 4429
103 103
1

Prime factors of 4429 are 43,103. Prime factorization of 4429 in exponential form is:

4429 = 431×1031

∴ So by taking common prime factors GCF of 4424 and 4429 is 1

Greatest Common Factor of 4424 and 4429 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 4429

List of positive integer factors of 4429 that divides 4429 without a remainder.

1,43,103,4429

Greatest Common Factor

We found the factors and prime factorization of 4424 and 4429. The biggest common factor number is the GCF number.
So the greatest common factor 4424 and 4429 is 1.

Also check out the Least Common Multiple of 4424 and 4429

Properties of GCF 4424 and 4429

(i) The GCF of 4424 and 4429 is associative

GCF of 4424 and 4429 = GCF of 4429 and 4424

Frequently Asked Questions on GCF of 4424 and 4429

1. What is the GCF of 4424 and 4429?

Answer: GCF of 4424 and 4429 is 1.

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 4429?

Answer: Factors of 4429 are 1, 43, 103, 4429. There are 4 integers that are factors of 4429. The greatest factor of 4429 is 4429.

4. How to Find the GCF of 4424 and 4429?

Answer:

Greatest Common Factor of 4424 and 4429 = 1

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 4429

4429 = 43 x 103

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 4424 and 4429 is 1