Greatest Common Factor of 35231 and 35238

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 35231, 35238 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35231 and 35238 is 7.

GCF(35231,35238) = 7

GCF of 35231 and 35238

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

GCF of:
and

Greatest Common Factor of 35231 and 35238

GCF of 35231 and 35238 is 7

Prime Factorization of 35231


7 35231
7 5033
719 719
1

Prime factors of 35231 are 7,719. Prime factorization of 35231 in exponential form is:

35231 = 72×7191

Prime Factorization of 35238


2 35238
3 17619
7 5873
839 839
1

Prime factors of 35238 are 2,3,7,839. Prime factorization of 35238 in exponential form is:

35238 = 21×31×71×8391

∴ So by taking common prime factors GCF of 35231 and 35238 is 7

Greatest Common Factor of 35231 and 35238 by matching factors method

Factors of 35231

List of positive integer factors of 35231 that divides 35231 without a remainder.

1,7,49,719,5033,35231

Factors of 35238

List of positive integer factors of 35238 that divides 35238 without a remainder.

1,2,3,6,7,14,21,42,839,1678,2517,5034,5873,11746,17619,35238

Greatest Common Factor

We found the factors and prime factorization of 35231 and 35238. The biggest common factor number is the GCF number.
So the greatest common factor 35231 and 35238 is 7.

Also check out the Least Common Multiple of 35231 and 35238

Properties of GCF 35231 and 35238

(i) The GCF of 35231 and 35238 is associative

GCF of 35231 and 35238 = GCF of 35238 and 35231

Related Greatest Common Factor of 35231

Related Greatest Common Factor of 35238

Frequently Asked Questions on GCF of 35231 and 35238

1. What is the GCF of 35231 and 35238?

Answer: GCF of 35231 and 35238 is 7.

2. What are the Factors of 35231?

Answer: Factors of 35231 are 1, 7, 49, 719, 5033, 35231. There are 6 integers that are factors of 35231. The greatest factor of 35231 is 35231.

3. What are the Factors of 35238?

Answer: Factors of 35238 are 1, 2, 3, 6, 7, 14, 21, 42, 839, 1678, 2517, 5034, 5873, 11746, 17619, 35238. There are 16 integers that are factors of 35238. The greatest factor of 35238 is 35238.

4. How to Find the GCF of 35231 and 35238?

Answer:

Greatest Common Factor of 35231 and 35238 = 7

Step 1: Find the prime factorization of 35231

35231 = 7 x 7 x 719

Step 2: Find the prime factorization of 35238

35238 = 2 x 3 x 7 x 839

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 35231 and 35238 is 7