Greatest Common Factor of 31029 and 31034

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, 31034 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31029 and 31034 is 1.

GCF(31029,31034) = 1

GCF of 31029 and 31034

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

GCF of:
and

Greatest Common Factor of 31029 and 31034

GCF of 31029 and 31034 is 1

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 31034


2 31034
59 15517
263 263
1

Prime factors of 31034 are 2,59,263. Prime factorization of 31034 in exponential form is:

31034 = 21×591×2631

∴ So by taking common prime factors GCF of 31029 and 31034 is 1

Greatest Common Factor of 31029 and 31034 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 31034

List of positive integer factors of 31034 that divides 31034 without a remainder.

1,2,59,118,263,526,15517,31034

Greatest Common Factor

We found the factors and prime factorization of 31029 and 31034. The biggest common factor number is the GCF number.
So the greatest common factor 31029 and 31034 is 1.

Also check out the Least Common Multiple of 31029 and 31034

Properties of GCF 31029 and 31034

(i) The GCF of 31029 and 31034 is associative

GCF of 31029 and 31034 = GCF of 31034 and 31029

Related Greatest Common Factor of 31029

Related Greatest Common Factor of 31034

Frequently Asked Questions on GCF of 31029 and 31034

1. What is the GCF of 31029 and 31034?

Answer: GCF of 31029 and 31034 is 1.

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 31034?

Answer: Factors of 31034 are 1, 2, 59, 118, 263, 526, 15517, 31034. There are 8 integers that are factors of 31034. The greatest factor of 31034 is 31034.

4. How to Find the GCF of 31029 and 31034?

Answer:

Greatest Common Factor of 31029 and 31034 = 1

Step 1: Find the prime factorization of 31029

31029 = 3 x 10343

Step 2: Find the prime factorization of 31034

31034 = 2 x 59 x 263

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 31029 and 31034 is 1