Greatest Common Factor of 10020 and 10027

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 10020, 10027 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10020 and 10027 is 1.

GCF(10020,10027) = 1

GCF of 10020 and 10027

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

GCF of:
and

Greatest Common Factor of 10020 and 10027

GCF of 10020 and 10027 is 1

Prime Factorization of 10020


2 10020
2 5010
3 2505
5 835
167 167
1

Prime factors of 10020 are 2,3,5,167. Prime factorization of 10020 in exponential form is:

10020 = 22×31×51×1671

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

∴ So by taking common prime factors GCF of 10020 and 10027 is 1

Greatest Common Factor of 10020 and 10027 by matching factors method

Factors of 10020

List of positive integer factors of 10020 that divides 10020 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,167,334,501,668,835,1002,1670,2004,2505,3340,5010,10020

Factors of 10027

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

1,37,271,10027

Greatest Common Factor

We found the factors and prime factorization of 10020 and 10027. The biggest common factor number is the GCF number.
So the greatest common factor 10020 and 10027 is 1.

Also check out the Least Common Multiple of 10020 and 10027

Properties of GCF 10020 and 10027

(i) The GCF of 10020 and 10027 is associative

GCF of 10020 and 10027 = GCF of 10027 and 10020

Related Greatest Common Factor of 10020

Related Greatest Common Factor of 10027

Frequently Asked Questions on GCF of 10020 and 10027

1. What is the GCF of 10020 and 10027?

Answer: GCF of 10020 and 10027 is 1.

2. What are the Factors of 10020?

Answer: Factors of 10020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010, 10020. There are 24 integers that are factors of 10020. The greatest factor of 10020 is 10020.

3. 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.

4. How to Find the GCF of 10020 and 10027?

Answer:

Greatest Common Factor of 10020 and 10027 = 1

Step 1: Find the prime factorization of 10020

10020 = 2 x 2 x 3 x 5 x 167

Step 2: Find the prime factorization of 10027

10027 = 37 x 271

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 10020 and 10027 is 1