Greatest Common Factor of 31026 and 31027

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 31026, 31027 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31026 and 31027 is 1.

GCF(31026,31027) = 1

GCF of 31026 and 31027

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

GCF of:
and

Greatest Common Factor of 31026 and 31027

GCF of 31026 and 31027 is 1

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

Prime Factorization of 31027


19 31027
23 1633
71 71
1

Prime factors of 31027 are 19,23,71. Prime factorization of 31027 in exponential form is:

31027 = 191×231×711

∴ So by taking common prime factors GCF of 31026 and 31027 is 1

Greatest Common Factor of 31026 and 31027 by matching factors method

Factors of 31026

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

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

Factors of 31027

List of positive integer factors of 31027 that divides 31027 without a remainder.

1,19,23,71,437,1349,1633,31027

Greatest Common Factor

We found the factors and prime factorization of 31026 and 31027. The biggest common factor number is the GCF number.
So the greatest common factor 31026 and 31027 is 1.

Also check out the Least Common Multiple of 31026 and 31027

Properties of GCF 31026 and 31027

(i) The GCF of 31026 and 31027 is associative

GCF of 31026 and 31027 = GCF of 31027 and 31026

Related Greatest Common Factor of 31026

Related Greatest Common Factor of 31027

Frequently Asked Questions on GCF of 31026 and 31027

1. What is the GCF of 31026 and 31027?

Answer: GCF of 31026 and 31027 is 1.

2. 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.

3. What are the Factors of 31027?

Answer: Factors of 31027 are 1, 19, 23, 71, 437, 1349, 1633, 31027. There are 8 integers that are factors of 31027. The greatest factor of 31027 is 31027.

4. How to Find the GCF of 31026 and 31027?

Answer:

Greatest Common Factor of 31026 and 31027 = 1

Step 1: Find the prime factorization of 31026

31026 = 2 x 3 x 5171

Step 2: Find the prime factorization of 31027

31027 = 19 x 23 x 71

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 31026 and 31027 is 1