Greatest Common Factor of 12417 and 12423

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 12417, 12423 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12417 and 12423 is 3.

GCF(12417,12423) = 3

GCF of 12417 and 12423

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

GCF of:
and

Greatest Common Factor of 12417 and 12423

GCF of 12417 and 12423 is 3

Prime Factorization of 12417


3 12417
4139 4139
1

Prime factors of 12417 are 3,4139. Prime factorization of 12417 in exponential form is:

12417 = 31×41391

Prime Factorization of 12423


3 12423
41 4141
101 101
1

Prime factors of 12423 are 3,41,101. Prime factorization of 12423 in exponential form is:

12423 = 31×411×1011

∴ So by taking common prime factors GCF of 12417 and 12423 is 3

Greatest Common Factor of 12417 and 12423 by matching factors method

Factors of 12417

List of positive integer factors of 12417 that divides 12417 without a remainder.

1,3,4139,12417

Factors of 12423

List of positive integer factors of 12423 that divides 12423 without a remainder.

1,3,41,101,123,303,4141,12423

Greatest Common Factor

We found the factors and prime factorization of 12417 and 12423. The biggest common factor number is the GCF number.
So the greatest common factor 12417 and 12423 is 3.

Also check out the Least Common Multiple of 12417 and 12423

Properties of GCF 12417 and 12423

(i) The GCF of 12417 and 12423 is associative

GCF of 12417 and 12423 = GCF of 12423 and 12417

Related Greatest Common Factor of 12417

Related Greatest Common Factor of 12423

Frequently Asked Questions on GCF of 12417 and 12423

1. What is the GCF of 12417 and 12423?

Answer: GCF of 12417 and 12423 is 3.

2. What are the Factors of 12417?

Answer: Factors of 12417 are 1, 3, 4139, 12417. There are 4 integers that are factors of 12417. The greatest factor of 12417 is 12417.

3. What are the Factors of 12423?

Answer: Factors of 12423 are 1, 3, 41, 101, 123, 303, 4141, 12423. There are 8 integers that are factors of 12423. The greatest factor of 12423 is 12423.

4. How to Find the GCF of 12417 and 12423?

Answer:

Greatest Common Factor of 12417 and 12423 = 3

Step 1: Find the prime factorization of 12417

12417 = 3 x 4139

Step 2: Find the prime factorization of 12423

12423 = 3 x 41 x 101

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 12417 and 12423 is 3