Greatest Common Factor of 31029 and 31035

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 31029, 31035 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31029 and 31035 is 3.

GCF(31029,31035) = 3

GCF of 31029 and 31035

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

GCF of:
and

Greatest Common Factor of 31029 and 31035

GCF of 31029 and 31035 is 3

Prime Factorization of 31029


3 31029
10343 10343
1

Prime factors of 31029 are 3,10343. Prime factorization of 31029 in exponential form is:

31029 = 31×103431

Prime Factorization of 31035


3 31035
5 10345
2069 2069
1

Prime factors of 31035 are 3,5,2069. Prime factorization of 31035 in exponential form is:

31035 = 31×51×20691

∴ So by taking common prime factors GCF of 31029 and 31035 is 3

Greatest Common Factor of 31029 and 31035 by matching factors method

Factors of 31029

List of positive integer factors of 31029 that divides 31029 without a remainder.

1,3,10343,31029

Factors of 31035

List of positive integer factors of 31035 that divides 31035 without a remainder.

1,3,5,15,2069,6207,10345,31035

Greatest Common Factor

We found the factors and prime factorization of 31029 and 31035. The biggest common factor number is the GCF number.
So the greatest common factor 31029 and 31035 is 3.

Also check out the Least Common Multiple of 31029 and 31035

Properties of GCF 31029 and 31035

(i) The GCF of 31029 and 31035 is associative

GCF of 31029 and 31035 = GCF of 31035 and 31029

Related Greatest Common Factor of 31029

Related Greatest Common Factor of 31035

Frequently Asked Questions on GCF of 31029 and 31035

1. What is the GCF of 31029 and 31035?

Answer: GCF of 31029 and 31035 is 3.

2. What are the Factors of 31029?

Answer: Factors of 31029 are 1, 3, 10343, 31029. There are 4 integers that are factors of 31029. The greatest factor of 31029 is 31029.

3. What are the Factors of 31035?

Answer: Factors of 31035 are 1, 3, 5, 15, 2069, 6207, 10345, 31035. There are 8 integers that are factors of 31035. The greatest factor of 31035 is 31035.

4. How to Find the GCF of 31029 and 31035?

Answer:

Greatest Common Factor of 31029 and 31035 = 3

Step 1: Find the prime factorization of 31029

31029 = 3 x 10343

Step 2: Find the prime factorization of 31035

31035 = 3 x 5 x 2069

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

GCF = 3

Step 4: Therefore, the greatest common factor of 31029 and 31035 is 3