Greatest Common Factor of 12423 and 12428

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 12423, 12428 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12423 and 12428 is 1.

GCF(12423,12428) = 1

GCF of 12423 and 12428

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

GCF of:
and

Greatest Common Factor of 12423 and 12428

GCF of 12423 and 12428 is 1

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

Prime Factorization of 12428


2 12428
2 6214
13 3107
239 239
1

Prime factors of 12428 are 2,13,239. Prime factorization of 12428 in exponential form is:

12428 = 22×131×2391

∴ So by taking common prime factors GCF of 12423 and 12428 is 1

Greatest Common Factor of 12423 and 12428 by matching factors method

Factors of 12423

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

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

Factors of 12428

List of positive integer factors of 12428 that divides 12428 without a remainder.

1,2,4,13,26,52,239,478,956,3107,6214,12428

Greatest Common Factor

We found the factors and prime factorization of 12423 and 12428. The biggest common factor number is the GCF number.
So the greatest common factor 12423 and 12428 is 1.

Also check out the Least Common Multiple of 12423 and 12428

Properties of GCF 12423 and 12428

(i) The GCF of 12423 and 12428 is associative

GCF of 12423 and 12428 = GCF of 12428 and 12423

Frequently Asked Questions on GCF of 12423 and 12428

1. What is the GCF of 12423 and 12428?

Answer: GCF of 12423 and 12428 is 1.

2. 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.

3. What are the Factors of 12428?

Answer: Factors of 12428 are 1, 2, 4, 13, 26, 52, 239, 478, 956, 3107, 6214, 12428. There are 12 integers that are factors of 12428. The greatest factor of 12428 is 12428.

4. How to Find the GCF of 12423 and 12428?

Answer:

Greatest Common Factor of 12423 and 12428 = 1

Step 1: Find the prime factorization of 12423

12423 = 3 x 41 x 101

Step 2: Find the prime factorization of 12428

12428 = 2 x 2 x 13 x 239

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 12423 and 12428 is 1