Greatest Common Factor of 1020 and 1025

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, 1025 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1020 and 1025 is 5.

GCF(1020,1025) = 5

GCF of 1020 and 1025

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

GCF of:
and

Greatest Common Factor of 1020 and 1025

GCF of 1020 and 1025 is 5

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 1025


5 1025
5 205
41 41
1

Prime factors of 1025 are 5,41. Prime factorization of 1025 in exponential form is:

1025 = 52×411

∴ So by taking common prime factors GCF of 1020 and 1025 is 5

Greatest Common Factor of 1020 and 1025 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 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1,5,25,41,205,1025

Greatest Common Factor

We found the factors and prime factorization of 1020 and 1025. The biggest common factor number is the GCF number.
So the greatest common factor 1020 and 1025 is 5.

Also check out the Least Common Multiple of 1020 and 1025

Properties of GCF 1020 and 1025

(i) The GCF of 1020 and 1025 is associative

GCF of 1020 and 1025 = GCF of 1025 and 1020

Related Greatest Common Factor of 1020

Related Greatest Common Factor of 1025

Frequently Asked Questions on GCF of 1020 and 1025

1. What is the GCF of 1020 and 1025?

Answer: GCF of 1020 and 1025 is 5.

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 1025?

Answer: Factors of 1025 are 1, 5, 25, 41, 205, 1025. There are 6 integers that are factors of 1025. The greatest factor of 1025 is 1025.

4. How to Find the GCF of 1020 and 1025?

Answer:

Greatest Common Factor of 1020 and 1025 = 5

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 1025

1025 = 5 x 5 x 41

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1020 and 1025 is 5