Greatest Common Factor of 35224 and 35231

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 35224, 35231 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35224 and 35231 is 7.

GCF(35224,35231) = 7

GCF of 35224 and 35231

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

GCF of:
and

Greatest Common Factor of 35224 and 35231

GCF of 35224 and 35231 is 7

Prime Factorization of 35224


2 35224
2 17612
2 8806
7 4403
17 629
37 37
1

Prime factors of 35224 are 2,7,17,37. Prime factorization of 35224 in exponential form is:

35224 = 23×71×171×371

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

∴ So by taking common prime factors GCF of 35224 and 35231 is 7

Greatest Common Factor of 35224 and 35231 by matching factors method

Factors of 35224

List of positive integer factors of 35224 that divides 35224 without a remainder.

1,2,4,7,8,14,17,28,34,37,56,68,74,119,136,148,238,259,296,476,518,629,952,1036,1258,2072,2516,4403,5032,8806,17612,35224

Factors of 35231

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

1,7,49,719,5033,35231

Greatest Common Factor

We found the factors and prime factorization of 35224 and 35231. The biggest common factor number is the GCF number.
So the greatest common factor 35224 and 35231 is 7.

Also check out the Least Common Multiple of 35224 and 35231

Properties of GCF 35224 and 35231

(i) The GCF of 35224 and 35231 is associative

GCF of 35224 and 35231 = GCF of 35231 and 35224

Related Greatest Common Factor of 35224

Related Greatest Common Factor of 35231

Frequently Asked Questions on GCF of 35224 and 35231

1. What is the GCF of 35224 and 35231?

Answer: GCF of 35224 and 35231 is 7.

2. What are the Factors of 35224?

Answer: Factors of 35224 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 37, 56, 68, 74, 119, 136, 148, 238, 259, 296, 476, 518, 629, 952, 1036, 1258, 2072, 2516, 4403, 5032, 8806, 17612, 35224. There are 32 integers that are factors of 35224. The greatest factor of 35224 is 35224.

3. 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.

4. How to Find the GCF of 35224 and 35231?

Answer:

Greatest Common Factor of 35224 and 35231 = 7

Step 1: Find the prime factorization of 35224

35224 = 2 x 2 x 2 x 7 x 17 x 37

Step 2: Find the prime factorization of 35231

35231 = 7 x 7 x 719

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 35224 and 35231 is 7