Greatest Common Factor of 35231 and 35235

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, 35235 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35231 and 35235 is 1.

GCF(35231,35235) = 1

GCF of 35231 and 35235

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

GCF of:
and

Greatest Common Factor of 35231 and 35235

GCF of 35231 and 35235 is 1

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 35235


3 35235
3 11745
3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 35235 are 3,5,29. Prime factorization of 35235 in exponential form is:

35235 = 35×51×291

∴ So by taking common prime factors GCF of 35231 and 35235 is 1

Greatest Common Factor of 35231 and 35235 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 35235

List of positive integer factors of 35235 that divides 35235 without a remainder.

1,3,5,9,15,27,29,45,81,87,135,145,243,261,405,435,783,1215,1305,2349,3915,7047,11745,35235

Greatest Common Factor

We found the factors and prime factorization of 35231 and 35235. The biggest common factor number is the GCF number.
So the greatest common factor 35231 and 35235 is 1.

Also check out the Least Common Multiple of 35231 and 35235

Properties of GCF 35231 and 35235

(i) The GCF of 35231 and 35235 is associative

GCF of 35231 and 35235 = GCF of 35235 and 35231

Related Greatest Common Factor of 35231

Related Greatest Common Factor of 35235

Frequently Asked Questions on GCF of 35231 and 35235

1. What is the GCF of 35231 and 35235?

Answer: GCF of 35231 and 35235 is 1.

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 35235?

Answer: Factors of 35235 are 1, 3, 5, 9, 15, 27, 29, 45, 81, 87, 135, 145, 243, 261, 405, 435, 783, 1215, 1305, 2349, 3915, 7047, 11745, 35235. There are 24 integers that are factors of 35235. The greatest factor of 35235 is 35235.

4. How to Find the GCF of 35231 and 35235?

Answer:

Greatest Common Factor of 35231 and 35235 = 1

Step 1: Find the prime factorization of 35231

35231 = 7 x 7 x 719

Step 2: Find the prime factorization of 35235

35235 = 3 x 3 x 3 x 3 x 3 x 5 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 35231 and 35235 is 1