Greatest Common Factor of 31007 and 31014

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 31007, 31014 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31007 and 31014 is 1.

GCF(31007,31014) = 1

GCF of 31007 and 31014

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

GCF of:
and

Greatest Common Factor of 31007 and 31014

GCF of 31007 and 31014 is 1

Prime Factorization of 31007


101 31007
307 307
1

Prime factors of 31007 are 101,307. Prime factorization of 31007 in exponential form is:

31007 = 1011×3071

Prime Factorization of 31014


2 31014
3 15507
3 5169
1723 1723
1

Prime factors of 31014 are 2,3,1723. Prime factorization of 31014 in exponential form is:

31014 = 21×32×17231

∴ So by taking common prime factors GCF of 31007 and 31014 is 1

Greatest Common Factor of 31007 and 31014 by matching factors method

Factors of 31007

List of positive integer factors of 31007 that divides 31007 without a remainder.

1,101,307,31007

Factors of 31014

List of positive integer factors of 31014 that divides 31014 without a remainder.

1,2,3,6,9,18,1723,3446,5169,10338,15507,31014

Greatest Common Factor

We found the factors and prime factorization of 31007 and 31014. The biggest common factor number is the GCF number.
So the greatest common factor 31007 and 31014 is 1.

Also check out the Least Common Multiple of 31007 and 31014

Properties of GCF 31007 and 31014

(i) The GCF of 31007 and 31014 is associative

GCF of 31007 and 31014 = GCF of 31014 and 31007

Related Greatest Common Factor of 31007

Related Greatest Common Factor of 31014

Frequently Asked Questions on GCF of 31007 and 31014

1. What is the GCF of 31007 and 31014?

Answer: GCF of 31007 and 31014 is 1.

2. What are the Factors of 31007?

Answer: Factors of 31007 are 1, 101, 307, 31007. There are 4 integers that are factors of 31007. The greatest factor of 31007 is 31007.

3. What are the Factors of 31014?

Answer: Factors of 31014 are 1, 2, 3, 6, 9, 18, 1723, 3446, 5169, 10338, 15507, 31014. There are 12 integers that are factors of 31014. The greatest factor of 31014 is 31014.

4. How to Find the GCF of 31007 and 31014?

Answer:

Greatest Common Factor of 31007 and 31014 = 1

Step 1: Find the prime factorization of 31007

31007 = 101 x 307

Step 2: Find the prime factorization of 31014

31014 = 2 x 3 x 3 x 1723

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 31007 and 31014 is 1