Greatest Common Factor of 12425 and 12430

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 12425, 12430 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12425 and 12430 is 5.

GCF(12425,12430) = 5

GCF of 12425 and 12430

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

GCF of:
and

Greatest Common Factor of 12425 and 12430

GCF of 12425 and 12430 is 5

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

Prime Factorization of 12430


2 12430
5 6215
11 1243
113 113
1

Prime factors of 12430 are 2,5,11,113. Prime factorization of 12430 in exponential form is:

12430 = 21×51×111×1131

∴ So by taking common prime factors GCF of 12425 and 12430 is 5

Greatest Common Factor of 12425 and 12430 by matching factors method

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

Factors of 12430

List of positive integer factors of 12430 that divides 12430 without a remainder.

1,2,5,10,11,22,55,110,113,226,565,1130,1243,2486,6215,12430

Greatest Common Factor

We found the factors and prime factorization of 12425 and 12430. The biggest common factor number is the GCF number.
So the greatest common factor 12425 and 12430 is 5.

Also check out the Least Common Multiple of 12425 and 12430

Properties of GCF 12425 and 12430

(i) The GCF of 12425 and 12430 is associative

GCF of 12425 and 12430 = GCF of 12430 and 12425

Related Greatest Common Factor of 12425

Related Greatest Common Factor of 12430

Frequently Asked Questions on GCF of 12425 and 12430

1. What is the GCF of 12425 and 12430?

Answer: GCF of 12425 and 12430 is 5.

2. 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.

3. What are the Factors of 12430?

Answer: Factors of 12430 are 1, 2, 5, 10, 11, 22, 55, 110, 113, 226, 565, 1130, 1243, 2486, 6215, 12430. There are 16 integers that are factors of 12430. The greatest factor of 12430 is 12430.

4. How to Find the GCF of 12425 and 12430?

Answer:

Greatest Common Factor of 12425 and 12430 = 5

Step 1: Find the prime factorization of 12425

12425 = 5 x 5 x 7 x 71

Step 2: Find the prime factorization of 12430

12430 = 2 x 5 x 11 x 113

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 12425 and 12430 is 5