Greatest Common Factor of 3616 and 3621

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 3616, 3621 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3616 and 3621 is 1.

GCF(3616,3621) = 1

GCF of 3616 and 3621

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

GCF of:
and

Greatest Common Factor of 3616 and 3621

GCF of 3616 and 3621 is 1

Prime Factorization of 3616


2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 3616 are 2,113. Prime factorization of 3616 in exponential form is:

3616 = 25×1131

Prime Factorization of 3621


3 3621
17 1207
71 71
1

Prime factors of 3621 are 3,17,71. Prime factorization of 3621 in exponential form is:

3621 = 31×171×711

∴ So by taking common prime factors GCF of 3616 and 3621 is 1

Greatest Common Factor of 3616 and 3621 by matching factors method

Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1,2,4,8,16,32,113,226,452,904,1808,3616

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1,3,17,51,71,213,1207,3621

Greatest Common Factor

We found the factors and prime factorization of 3616 and 3621. The biggest common factor number is the GCF number.
So the greatest common factor 3616 and 3621 is 1.

Also check out the Least Common Multiple of 3616 and 3621

Properties of GCF 3616 and 3621

(i) The GCF of 3616 and 3621 is associative

GCF of 3616 and 3621 = GCF of 3621 and 3616

Related Greatest Common Factor of 3616

Related Greatest Common Factor of 3621

Frequently Asked Questions on GCF of 3616 and 3621

1. What is the GCF of 3616 and 3621?

Answer: GCF of 3616 and 3621 is 1.

2. What are the Factors of 3616?

Answer: Factors of 3616 are 1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616. There are 12 integers that are factors of 3616. The greatest factor of 3616 is 3616.

3. What are the Factors of 3621?

Answer: Factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621. There are 8 integers that are factors of 3621. The greatest factor of 3621 is 3621.

4. How to Find the GCF of 3616 and 3621?

Answer:

Greatest Common Factor of 3616 and 3621 = 1

Step 1: Find the prime factorization of 3616

3616 = 2 x 2 x 2 x 2 x 2 x 113

Step 2: Find the prime factorization of 3621

3621 = 3 x 17 x 71

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3616 and 3621 is 1