Greatest Common Factor of 31489 and 31497

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 31489, 31497 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31489 and 31497 is 1.

GCF(31489,31497) = 1

GCF of 31489 and 31497

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

GCF of:
and

Greatest Common Factor of 31489 and 31497

GCF of 31489 and 31497 is 1

Prime Factorization of 31489


31489 31489
1

Prime factors of 31489 are 31489. Prime factorization of 31489 in exponential form is:

31489 = 314891

Prime Factorization of 31497


3 31497
10499 10499
1

Prime factors of 31497 are 3.Prime factorization of 31497 in exponential form is:

31497 = 31×104991

∴ So by taking common prime factors GCF of 31489 and 31497 is 1

Greatest Common Factor of 31489 and 31497 by matching factors method

Factors of 31489

List of positive integer factors of 31489 that divides 31489 without a remainder.

1,31489

Factors of 31497

List of positive integer factors of 31497 that divides 31497 without a remainder.

1,3,10499,31497

Greatest Common Factor

We found the factors and prime factorization of 31489 and 31497. The biggest common factor number is the GCF number.
So the greatest common factor 31489 and 31497 is 1.

Also check out the Least Common Multiple of 31489 and 31497

Properties of GCF 31489 and 31497

(i) The GCF of 31489 and 31497 is associative

GCF of 31489 and 31497 = GCF of 31497 and 31489

Related Greatest Common Factor of 31489

Related Greatest Common Factor of 31497

Frequently Asked Questions on GCF of 31489 and 31497

1. What is the GCF of 31489 and 31497?

Answer: GCF of 31489 and 31497 is 1.

2. What are the Factors of 31489?

Answer: Factors of 31489 are 1, 31489. There are 2 integers that are factors of 31489. The greatest factor of 31489 is 31489.

3. What are the Factors of 31497?

Answer: Factors of 31497 are 1, 3, 10499, 31497. There are 4 integers that are factors of 31497. The greatest factor of 31497 is 31497.

4. How to Find the GCF of 31489 and 31497?

Answer:

Greatest Common Factor of 31489 and 31497 = 1

Step 1: Find the prime factorization of 31489

31489 = 31489

Step 2: Find the prime factorization of 31497

31497 = 3 x 10499

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 31489 and 31497 is 1