Greatest Common Factor of 1620 and 1625

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 1620, 1625 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1620 and 1625 is 5.

GCF(1620,1625) = 5

GCF of 1620 and 1625

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

GCF of:
and

Greatest Common Factor of 1620 and 1625

GCF of 1620 and 1625 is 5

Prime Factorization of 1620


2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1620 are 2,3,5. Prime factorization of 1620 in exponential form is:

1620 = 22×34×51

Prime Factorization of 1625


5 1625
5 325
5 65
13 13
1

Prime factors of 1625 are 5,13. Prime factorization of 1625 in exponential form is:

1625 = 53×131

∴ So by taking common prime factors GCF of 1620 and 1625 is 5

Greatest Common Factor of 1620 and 1625 by matching factors method

Factors of 1620

List of positive integer factors of 1620 that divides 1620 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1,5,13,25,65,125,325,1625

Greatest Common Factor

We found the factors and prime factorization of 1620 and 1625. The biggest common factor number is the GCF number.
So the greatest common factor 1620 and 1625 is 5.

Also check out the Least Common Multiple of 1620 and 1625

Properties of GCF 1620 and 1625

(i) The GCF of 1620 and 1625 is associative

GCF of 1620 and 1625 = GCF of 1625 and 1620

Related Greatest Common Factor of 1620

Related Greatest Common Factor of 1625

Frequently Asked Questions on GCF of 1620 and 1625

1. What is the GCF of 1620 and 1625?

Answer: GCF of 1620 and 1625 is 5.

2. What are the Factors of 1620?

Answer: Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. There are 30 integers that are factors of 1620. The greatest factor of 1620 is 1620.

3. What are the Factors of 1625?

Answer: Factors of 1625 are 1, 5, 13, 25, 65, 125, 325, 1625. There are 8 integers that are factors of 1625. The greatest factor of 1625 is 1625.

4. How to Find the GCF of 1620 and 1625?

Answer:

Greatest Common Factor of 1620 and 1625 = 5

Step 1: Find the prime factorization of 1620

1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 1625

1625 = 5 x 5 x 5 x 13

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 1620 and 1625 is 5