Greatest Common Factor of 4417 and 4424

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 4417, 4424 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4417 and 4424 is 7.

GCF(4417,4424) = 7

GCF of 4417 and 4424

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

GCF of:
and

Greatest Common Factor of 4417 and 4424

GCF of 4417 and 4424 is 7

Prime Factorization of 4417


7 4417
631 631
1

Prime factors of 4417 are 7,631. Prime factorization of 4417 in exponential form is:

4417 = 71×6311

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

∴ So by taking common prime factors GCF of 4417 and 4424 is 7

Greatest Common Factor of 4417 and 4424 by matching factors method

Factors of 4417

List of positive integer factors of 4417 that divides 4417 without a remainder.

1,7,631,4417

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

Greatest Common Factor

We found the factors and prime factorization of 4417 and 4424. The biggest common factor number is the GCF number.
So the greatest common factor 4417 and 4424 is 7.

Also check out the Least Common Multiple of 4417 and 4424

Properties of GCF 4417 and 4424

(i) The GCF of 4417 and 4424 is associative

GCF of 4417 and 4424 = GCF of 4424 and 4417

Related Greatest Common Factor of 4417

Related Greatest Common Factor of 4424

Frequently Asked Questions on GCF of 4417 and 4424

1. What is the GCF of 4417 and 4424?

Answer: GCF of 4417 and 4424 is 7.

2. What are the Factors of 4417?

Answer: Factors of 4417 are 1, 7, 631, 4417. There are 4 integers that are factors of 4417. The greatest factor of 4417 is 4417.

3. 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.

4. How to Find the GCF of 4417 and 4424?

Answer:

Greatest Common Factor of 4417 and 4424 = 7

Step 1: Find the prime factorization of 4417

4417 = 7 x 631

Step 2: Find the prime factorization of 4424

4424 = 2 x 2 x 2 x 7 x 79

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 4417 and 4424 is 7