Greatest Common Factor of 10027 and 10031

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 10027, 10031 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10027 and 10031 is 1.

GCF(10027,10031) = 1

GCF of 10027 and 10031

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

GCF of:
and

Greatest Common Factor of 10027 and 10031

GCF of 10027 and 10031 is 1

Prime Factorization of 10027


37 10027
271 271
1

Prime factors of 10027 are 37,271. Prime factorization of 10027 in exponential form is:

10027 = 371×2711

Prime Factorization of 10031


7 10031
1433 1433
1

Prime factors of 10031 are 7,1433. Prime factorization of 10031 in exponential form is:

10031 = 71×14331

∴ So by taking common prime factors GCF of 10027 and 10031 is 1

Greatest Common Factor of 10027 and 10031 by matching factors method

Factors of 10027

List of positive integer factors of 10027 that divides 10027 without a remainder.

1,37,271,10027

Factors of 10031

List of positive integer factors of 10031 that divides 10031 without a remainder.

1,7,1433,10031

Greatest Common Factor

We found the factors and prime factorization of 10027 and 10031. The biggest common factor number is the GCF number.
So the greatest common factor 10027 and 10031 is 1.

Also check out the Least Common Multiple of 10027 and 10031

Properties of GCF 10027 and 10031

(i) The GCF of 10027 and 10031 is associative

GCF of 10027 and 10031 = GCF of 10031 and 10027

Related Greatest Common Factor of 10027

Related Greatest Common Factor of 10031

Frequently Asked Questions on GCF of 10027 and 10031

1. What is the GCF of 10027 and 10031?

Answer: GCF of 10027 and 10031 is 1.

2. What are the Factors of 10027?

Answer: Factors of 10027 are 1, 37, 271, 10027. There are 4 integers that are factors of 10027. The greatest factor of 10027 is 10027.

3. What are the Factors of 10031?

Answer: Factors of 10031 are 1, 7, 1433, 10031. There are 4 integers that are factors of 10031. The greatest factor of 10031 is 10031.

4. How to Find the GCF of 10027 and 10031?

Answer:

Greatest Common Factor of 10027 and 10031 = 1

Step 1: Find the prime factorization of 10027

10027 = 37 x 271

Step 2: Find the prime factorization of 10031

10031 = 7 x 1433

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 10027 and 10031 is 1