Greatest Common Factor of 306418 and 306425

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 306418, 306425 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 306418 and 306425 is 7.

GCF(306418,306425) = 7

GCF of 306418 and 306425

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

GCF of:
and

Greatest Common Factor of 306418 and 306425

GCF of 306418 and 306425 is 7

Prime Factorization of 306418


2 306418
7 153209
43 21887
509 509
1

Prime factors of 306418 are 2,7,43,509. Prime factorization of 306418 in exponential form is:

306418 = 21×71×431×5091

Prime Factorization of 306425


5 306425
5 61285
7 12257
17 1751
103 103
1

Prime factors of 306425 are 5,7,17,103. Prime factorization of 306425 in exponential form is:

306425 = 52×71×171×1031

∴ So by taking common prime factors GCF of 306418 and 306425 is 7

Greatest Common Factor of 306418 and 306425 by matching factors method

Factors of 306418

List of positive integer factors of 306418 that divides 306418 without a remainder.

1,2,7,14,43,86,301,509,602,1018,3563,7126,21887,43774,153209,306418

Factors of 306425

List of positive integer factors of 306425 that divides 306425 without a remainder.

1,5,7,17,25,35,85,103,119,175,425,515,595,721,1751,2575,2975,3605,8755,12257,18025,43775,61285,306425

Greatest Common Factor

We found the factors and prime factorization of 306418 and 306425. The biggest common factor number is the GCF number.
So the greatest common factor 306418 and 306425 is 7.

Also check out the Least Common Multiple of 306418 and 306425

Properties of GCF 306418 and 306425

(i) The GCF of 306418 and 306425 is associative

GCF of 306418 and 306425 = GCF of 306425 and 306418

Related Greatest Common Factor of 306418

Related Greatest Common Factor of 306425

Frequently Asked Questions on GCF of 306418 and 306425

1. What is the GCF of 306418 and 306425?

Answer: GCF of 306418 and 306425 is 7.

2. What are the Factors of 306418?

Answer: Factors of 306418 are 1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418. There are 16 integers that are factors of 306418. The greatest factor of 306418 is 306418.

3. What are the Factors of 306425?

Answer: Factors of 306425 are 1, 5, 7, 17, 25, 35, 85, 103, 119, 175, 425, 515, 595, 721, 1751, 2575, 2975, 3605, 8755, 12257, 18025, 43775, 61285, 306425. There are 24 integers that are factors of 306425. The greatest factor of 306425 is 306425.

4. How to Find the GCF of 306418 and 306425?

Answer:

Greatest Common Factor of 306418 and 306425 = 7

Step 1: Find the prime factorization of 306418

306418 = 2 x 7 x 43 x 509

Step 2: Find the prime factorization of 306425

306425 = 5 x 5 x 7 x 17 x 103

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 306418 and 306425 is 7