Greatest Common Factor of 12418 and 12425

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 12418, 12425 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12418 and 12425 is 7.

GCF(12418,12425) = 7

GCF of 12418 and 12425

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

GCF of:
and

Greatest Common Factor of 12418 and 12425

GCF of 12418 and 12425 is 7

Prime Factorization of 12418


2 12418
7 6209
887 887
1

Prime factors of 12418 are 2,7,887. Prime factorization of 12418 in exponential form is:

12418 = 21×71×8871

Prime Factorization of 12425


5 12425
5 2485
7 497
71 71
1

Prime factors of 12425 are 5,7,71. Prime factorization of 12425 in exponential form is:

12425 = 52×71×711

∴ So by taking common prime factors GCF of 12418 and 12425 is 7

Greatest Common Factor of 12418 and 12425 by matching factors method

Factors of 12418

List of positive integer factors of 12418 that divides 12418 without a remainder.

1,2,7,14,887,1774,6209,12418

Factors of 12425

List of positive integer factors of 12425 that divides 12425 without a remainder.

1,5,7,25,35,71,175,355,497,1775,2485,12425

Greatest Common Factor

We found the factors and prime factorization of 12418 and 12425. The biggest common factor number is the GCF number.
So the greatest common factor 12418 and 12425 is 7.

Also check out the Least Common Multiple of 12418 and 12425

Properties of GCF 12418 and 12425

(i) The GCF of 12418 and 12425 is associative

GCF of 12418 and 12425 = GCF of 12425 and 12418

Related Greatest Common Factor of 12418

Related Greatest Common Factor of 12425

Frequently Asked Questions on GCF of 12418 and 12425

1. What is the GCF of 12418 and 12425?

Answer: GCF of 12418 and 12425 is 7.

2. What are the Factors of 12418?

Answer: Factors of 12418 are 1, 2, 7, 14, 887, 1774, 6209, 12418. There are 8 integers that are factors of 12418. The greatest factor of 12418 is 12418.

3. What are the Factors of 12425?

Answer: Factors of 12425 are 1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485, 12425. There are 12 integers that are factors of 12425. The greatest factor of 12425 is 12425.

4. How to Find the GCF of 12418 and 12425?

Answer:

Greatest Common Factor of 12418 and 12425 = 7

Step 1: Find the prime factorization of 12418

12418 = 2 x 7 x 887

Step 2: Find the prime factorization of 12425

12425 = 5 x 5 x 7 x 71

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 12418 and 12425 is 7