Greatest Common Factor of 31007 and 31009

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, 31009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31007 and 31009 is 1.

GCF(31007,31009) = 1

GCF of 31007 and 31009

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

GCF of:
and

Greatest Common Factor of 31007 and 31009

GCF of 31007 and 31009 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 31009


11 31009
2819 2819
1

Prime factors of 31009 are 11,2819. Prime factorization of 31009 in exponential form is:

31009 = 111×28191

∴ So by taking common prime factors GCF of 31007 and 31009 is 1

Greatest Common Factor of 31007 and 31009 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 31009

List of positive integer factors of 31009 that divides 31009 without a remainder.

1,11,2819,31009

Greatest Common Factor

We found the factors and prime factorization of 31007 and 31009. The biggest common factor number is the GCF number.
So the greatest common factor 31007 and 31009 is 1.

Also check out the Least Common Multiple of 31007 and 31009

Properties of GCF 31007 and 31009

(i) The GCF of 31007 and 31009 is associative

GCF of 31007 and 31009 = GCF of 31009 and 31007

Related Greatest Common Factor of 31007

Related Greatest Common Factor of 31009

Frequently Asked Questions on GCF of 31007 and 31009

1. What is the GCF of 31007 and 31009?

Answer: GCF of 31007 and 31009 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 31009?

Answer: Factors of 31009 are 1, 11, 2819, 31009. There are 4 integers that are factors of 31009. The greatest factor of 31009 is 31009.

4. How to Find the GCF of 31007 and 31009?

Answer:

Greatest Common Factor of 31007 and 31009 = 1

Step 1: Find the prime factorization of 31007

31007 = 101 x 307

Step 2: Find the prime factorization of 31009

31009 = 11 x 2819

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 31009 is 1