Greatest Common Factor of 31007 and 31015

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, 31015 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31007 and 31015 is 1.

GCF(31007,31015) = 1

GCF of 31007 and 31015

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

GCF of:
and

Greatest Common Factor of 31007 and 31015

GCF of 31007 and 31015 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 31015


5 31015
6203 6203
1

Prime factors of 31015 are 5,6203. Prime factorization of 31015 in exponential form is:

31015 = 51×62031

∴ So by taking common prime factors GCF of 31007 and 31015 is 1

Greatest Common Factor of 31007 and 31015 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 31015

List of positive integer factors of 31015 that divides 31015 without a remainder.

1,5,6203,31015

Greatest Common Factor

We found the factors and prime factorization of 31007 and 31015. The biggest common factor number is the GCF number.
So the greatest common factor 31007 and 31015 is 1.

Also check out the Least Common Multiple of 31007 and 31015

Properties of GCF 31007 and 31015

(i) The GCF of 31007 and 31015 is associative

GCF of 31007 and 31015 = GCF of 31015 and 31007

Related Greatest Common Factor of 31007

Related Greatest Common Factor of 31015

Frequently Asked Questions on GCF of 31007 and 31015

1. What is the GCF of 31007 and 31015?

Answer: GCF of 31007 and 31015 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 31015?

Answer: Factors of 31015 are 1, 5, 6203, 31015. There are 4 integers that are factors of 31015. The greatest factor of 31015 is 31015.

4. How to Find the GCF of 31007 and 31015?

Answer:

Greatest Common Factor of 31007 and 31015 = 1

Step 1: Find the prime factorization of 31007

31007 = 101 x 307

Step 2: Find the prime factorization of 31015

31015 = 5 x 6203

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 31015 is 1