Greatest Common Factor of 3620 and 3625

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 3620, 3625 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3620 and 3625 is 5.

GCF(3620,3625) = 5

GCF of 3620 and 3625

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

GCF of:
and

Greatest Common Factor of 3620 and 3625

GCF of 3620 and 3625 is 5

Prime Factorization of 3620


2 3620
2 1810
5 905
181 181
1

Prime factors of 3620 are 2,5,181. Prime factorization of 3620 in exponential form is:

3620 = 22×51×1811

Prime Factorization of 3625


5 3625
5 725
5 145
29 29
1

Prime factors of 3625 are 5,29. Prime factorization of 3625 in exponential form is:

3625 = 53×291

∴ So by taking common prime factors GCF of 3620 and 3625 is 5

Greatest Common Factor of 3620 and 3625 by matching factors method

Factors of 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1,2,4,5,10,20,181,362,724,905,1810,3620

Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1,5,25,29,125,145,725,3625

Greatest Common Factor

We found the factors and prime factorization of 3620 and 3625. The biggest common factor number is the GCF number.
So the greatest common factor 3620 and 3625 is 5.

Also check out the Least Common Multiple of 3620 and 3625

Properties of GCF 3620 and 3625

(i) The GCF of 3620 and 3625 is associative

GCF of 3620 and 3625 = GCF of 3625 and 3620

Related Greatest Common Factor of 3620

Related Greatest Common Factor of 3625

Frequently Asked Questions on GCF of 3620 and 3625

1. What is the GCF of 3620 and 3625?

Answer: GCF of 3620 and 3625 is 5.

2. What are the Factors of 3620?

Answer: Factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620. There are 12 integers that are factors of 3620. The greatest factor of 3620 is 3620.

3. What are the Factors of 3625?

Answer: Factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625. There are 8 integers that are factors of 3625. The greatest factor of 3625 is 3625.

4. How to Find the GCF of 3620 and 3625?

Answer:

Greatest Common Factor of 3620 and 3625 = 5

Step 1: Find the prime factorization of 3620

3620 = 2 x 2 x 5 x 181

Step 2: Find the prime factorization of 3625

3625 = 5 x 5 x 5 x 29

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 3620 and 3625 is 5