Greatest Common Factor of 3620 and 3626

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, 3626 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3620 and 3626 is 2.

GCF(3620,3626) = 2

GCF of 3620 and 3626

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

GCF of:
and

Greatest Common Factor of 3620 and 3626

GCF of 3620 and 3626 is 2

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 3626


2 3626
7 1813
7 259
37 37
1

Prime factors of 3626 are 2,7,37. Prime factorization of 3626 in exponential form is:

3626 = 21×72×371

∴ So by taking common prime factors GCF of 3620 and 3626 is 2

Greatest Common Factor of 3620 and 3626 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 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1,2,7,14,37,49,74,98,259,518,1813,3626

Greatest Common Factor

We found the factors and prime factorization of 3620 and 3626. The biggest common factor number is the GCF number.
So the greatest common factor 3620 and 3626 is 2.

Also check out the Least Common Multiple of 3620 and 3626

Properties of GCF 3620 and 3626

(i) The GCF of 3620 and 3626 is associative

GCF of 3620 and 3626 = GCF of 3626 and 3620

Related Greatest Common Factor of 3620

Related Greatest Common Factor of 3626

Frequently Asked Questions on GCF of 3620 and 3626

1. What is the GCF of 3620 and 3626?

Answer: GCF of 3620 and 3626 is 2.

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 3626?

Answer: Factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626. There are 12 integers that are factors of 3626. The greatest factor of 3626 is 3626.

4. How to Find the GCF of 3620 and 3626?

Answer:

Greatest Common Factor of 3620 and 3626 = 2

Step 1: Find the prime factorization of 3620

3620 = 2 x 2 x 5 x 181

Step 2: Find the prime factorization of 3626

3626 = 2 x 7 x 7 x 37

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3620 and 3626 is 2