Greatest Common Factor of 31021 and 31026

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 31021, 31026 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31021 and 31026 is 1.

GCF(31021,31026) = 1

GCF of 31021 and 31026

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

GCF of:
and

Greatest Common Factor of 31021 and 31026

GCF of 31021 and 31026 is 1

Prime Factorization of 31021


67 31021
463 463
1

Prime factors of 31021 are 67,463. Prime factorization of 31021 in exponential form is:

31021 = 671×4631

Prime Factorization of 31026


2 31026
3 15513
5171 5171
1

Prime factors of 31026 are 2,3,5171. Prime factorization of 31026 in exponential form is:

31026 = 21×31×51711

∴ So by taking common prime factors GCF of 31021 and 31026 is 1

Greatest Common Factor of 31021 and 31026 by matching factors method

Factors of 31021

List of positive integer factors of 31021 that divides 31021 without a remainder.

1,67,463,31021

Factors of 31026

List of positive integer factors of 31026 that divides 31026 without a remainder.

1,2,3,6,5171,10342,15513,31026

Greatest Common Factor

We found the factors and prime factorization of 31021 and 31026. The biggest common factor number is the GCF number.
So the greatest common factor 31021 and 31026 is 1.

Also check out the Least Common Multiple of 31021 and 31026

Properties of GCF 31021 and 31026

(i) The GCF of 31021 and 31026 is associative

GCF of 31021 and 31026 = GCF of 31026 and 31021

Related Greatest Common Factor of 31021

Related Greatest Common Factor of 31026

Frequently Asked Questions on GCF of 31021 and 31026

1. What is the GCF of 31021 and 31026?

Answer: GCF of 31021 and 31026 is 1.

2. What are the Factors of 31021?

Answer: Factors of 31021 are 1, 67, 463, 31021. There are 4 integers that are factors of 31021. The greatest factor of 31021 is 31021.

3. What are the Factors of 31026?

Answer: Factors of 31026 are 1, 2, 3, 6, 5171, 10342, 15513, 31026. There are 8 integers that are factors of 31026. The greatest factor of 31026 is 31026.

4. How to Find the GCF of 31021 and 31026?

Answer:

Greatest Common Factor of 31021 and 31026 = 1

Step 1: Find the prime factorization of 31021

31021 = 67 x 463

Step 2: Find the prime factorization of 31026

31026 = 2 x 3 x 5171

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 31021 and 31026 is 1