Greatest Common Factor of 1020 and 1023

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 1020, 1023 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1020 and 1023 is 3.

GCF(1020,1023) = 3

GCF of 1020 and 1023

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

GCF of:
and

Greatest Common Factor of 1020 and 1023

GCF of 1020 and 1023 is 3

Prime Factorization of 1020


2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 1020 are 2,3,5,17. Prime factorization of 1020 in exponential form is:

1020 = 22×31×51×171

Prime Factorization of 1023


3 1023
11 341
31 31
1

Prime factors of 1023 are 3,11,31. Prime factorization of 1023 in exponential form is:

1023 = 31×111×311

∴ So by taking common prime factors GCF of 1020 and 1023 is 3

Greatest Common Factor of 1020 and 1023 by matching factors method

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Factors of 1023

List of positive integer factors of 1023 that divides 1023 without a remainder.

1,3,11,31,33,93,341,1023

Greatest Common Factor

We found the factors and prime factorization of 1020 and 1023. The biggest common factor number is the GCF number.
So the greatest common factor 1020 and 1023 is 3.

Also check out the Least Common Multiple of 1020 and 1023

Properties of GCF 1020 and 1023

(i) The GCF of 1020 and 1023 is associative

GCF of 1020 and 1023 = GCF of 1023 and 1020

Related Greatest Common Factor of 1020

Related Greatest Common Factor of 1023

Frequently Asked Questions on GCF of 1020 and 1023

1. What is the GCF of 1020 and 1023?

Answer: GCF of 1020 and 1023 is 3.

2. What are the Factors of 1020?

Answer: Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. There are 24 integers that are factors of 1020. The greatest factor of 1020 is 1020.

3. What are the Factors of 1023?

Answer: Factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. There are 8 integers that are factors of 1023. The greatest factor of 1023 is 1023.

4. How to Find the GCF of 1020 and 1023?

Answer:

Greatest Common Factor of 1020 and 1023 = 3

Step 1: Find the prime factorization of 1020

1020 = 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 1023

1023 = 3 x 11 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1020 and 1023 is 3