Greatest Common Factor of 5418 and 5425

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 5418, 5425 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5418 and 5425 is 7.

GCF(5418,5425) = 7

GCF of 5418 and 5425

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

GCF of:
and

Greatest Common Factor of 5418 and 5425

GCF of 5418 and 5425 is 7

Prime Factorization of 5418


2 5418
3 2709
3 903
7 301
43 43
1

Prime factors of 5418 are 2,3,7,43. Prime factorization of 5418 in exponential form is:

5418 = 21×32×71×431

Prime Factorization of 5425


5 5425
5 1085
7 217
31 31
1

Prime factors of 5425 are 5,7,31. Prime factorization of 5425 in exponential form is:

5425 = 52×71×311

∴ So by taking common prime factors GCF of 5418 and 5425 is 7

Greatest Common Factor of 5418 and 5425 by matching factors method

Factors of 5418

List of positive integer factors of 5418 that divides 5418 without a remainder.

1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418

Factors of 5425

List of positive integer factors of 5425 that divides 5425 without a remainder.

1,5,7,25,31,35,155,175,217,775,1085,5425

Greatest Common Factor

We found the factors and prime factorization of 5418 and 5425. The biggest common factor number is the GCF number.
So the greatest common factor 5418 and 5425 is 7.

Also check out the Least Common Multiple of 5418 and 5425

Properties of GCF 5418 and 5425

(i) The GCF of 5418 and 5425 is associative

GCF of 5418 and 5425 = GCF of 5425 and 5418

Related Greatest Common Factor of 5418

Related Greatest Common Factor of 5425

Frequently Asked Questions on GCF of 5418 and 5425

1. What is the GCF of 5418 and 5425?

Answer: GCF of 5418 and 5425 is 7.

2. What are the Factors of 5418?

Answer: Factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418. There are 24 integers that are factors of 5418. The greatest factor of 5418 is 5418.

3. What are the Factors of 5425?

Answer: Factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425. There are 12 integers that are factors of 5425. The greatest factor of 5425 is 5425.

4. How to Find the GCF of 5418 and 5425?

Answer:

Greatest Common Factor of 5418 and 5425 = 7

Step 1: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

Step 2: Find the prime factorization of 5425

5425 = 5 x 5 x 7 x 31

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 5418 and 5425 is 7