Greatest Common Factor of 417 and 423

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 417, 423 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 417 and 423 is 3.

GCF(417,423) = 3

GCF of 417 and 423

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

GCF of:
and

Greatest Common Factor of 417 and 423

GCF of 417 and 423 is 3

Prime Factorization of 417


3 417
139 139
1

Prime factors of 417 are 3,139. Prime factorization of 417 in exponential form is:

417 = 31×1391

Prime Factorization of 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

∴ So by taking common prime factors GCF of 417 and 423 is 3

Greatest Common Factor of 417 and 423 by matching factors method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors and prime factorization of 417 and 423. The biggest common factor number is the GCF number.
So the greatest common factor 417 and 423 is 3.

Also check out the Least Common Multiple of 417 and 423

Properties of GCF 417 and 423

(i) The GCF of 417 and 423 is associative

GCF of 417 and 423 = GCF of 423 and 417

Related Greatest Common Factor of 417

Related Greatest Common Factor of 423

Frequently Asked Questions on GCF of 417 and 423

1. What is the GCF of 417 and 423?

Answer: GCF of 417 and 423 is 3.

2. What are the Factors of 417?

Answer: Factors of 417 are 1, 3, 139, 417. There are 4 integers that are factors of 417. The greatest factor of 417 is 417.

3. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

4. How to Find the GCF of 417 and 423?

Answer:

Greatest Common Factor of 417 and 423 = 3

Step 1: Find the prime factorization of 417

417 = 3 x 139

Step 2: Find the prime factorization of 423

423 = 3 x 3 x 47

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 417 and 423 is 3