Greatest Common Factor of 12420 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 12420, 12425 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12420 and 12425 is 5.

GCF(12420,12425) = 5

GCF of 12420 and 12425

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

GCF of:
and

Greatest Common Factor of 12420 and 12425

GCF of 12420 and 12425 is 5

Prime Factorization of 12420


2 12420
2 6210
3 3105
3 1035
3 345
5 115
23 23
1

Prime factors of 12420 are 2,3,5,23. Prime factorization of 12420 in exponential form is:

12420 = 22×33×51×231

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 12420 and 12425 is 5

Greatest Common Factor of 12420 and 12425 by matching factors method

Factors of 12420

List of positive integer factors of 12420 that divides 12420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,23,27,30,36,45,46,54,60,69,90,92,108,115,135,138,180,207,230,270,276,345,414,460,540,621,690,828,1035,1242,1380,2070,2484,3105,4140,6210,12420

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 12420 and 12425. The biggest common factor number is the GCF number.
So the greatest common factor 12420 and 12425 is 5.

Also check out the Least Common Multiple of 12420 and 12425

Properties of GCF 12420 and 12425

(i) The GCF of 12420 and 12425 is associative

GCF of 12420 and 12425 = GCF of 12425 and 12420

Related Greatest Common Factor of 12420

Related Greatest Common Factor of 12425

Frequently Asked Questions on GCF of 12420 and 12425

1. What is the GCF of 12420 and 12425?

Answer: GCF of 12420 and 12425 is 5.

2. What are the Factors of 12420?

Answer: Factors of 12420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 345, 414, 460, 540, 621, 690, 828, 1035, 1242, 1380, 2070, 2484, 3105, 4140, 6210, 12420. There are 48 integers that are factors of 12420. The greatest factor of 12420 is 12420.

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 12420 and 12425?

Answer:

Greatest Common Factor of 12420 and 12425 = 5

Step 1: Find the prime factorization of 12420

12420 = 2 x 2 x 3 x 3 x 3 x 5 x 23

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 = 5

Step 4: Therefore, the greatest common factor of 12420 and 12425 is 5