Greatest Common Factor of 3609 and 3616

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 3609, 3616 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3609 and 3616 is 1.

GCF(3609,3616) = 1

GCF of 3609 and 3616

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

GCF of:
and

Greatest Common Factor of 3609 and 3616

GCF of 3609 and 3616 is 1

Prime Factorization of 3609


3 3609
3 1203
401 401
1

Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:

3609 = 32×4011

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

∴ So by taking common prime factors GCF of 3609 and 3616 is 1

Greatest Common Factor of 3609 and 3616 by matching factors method

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

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

Greatest Common Factor

We found the factors and prime factorization of 3609 and 3616. The biggest common factor number is the GCF number.
So the greatest common factor 3609 and 3616 is 1.

Also check out the Least Common Multiple of 3609 and 3616

Properties of GCF 3609 and 3616

(i) The GCF of 3609 and 3616 is associative

GCF of 3609 and 3616 = GCF of 3616 and 3609

Related Greatest Common Factor of 3609

Related Greatest Common Factor of 3616

Frequently Asked Questions on GCF of 3609 and 3616

1. What is the GCF of 3609 and 3616?

Answer: GCF of 3609 and 3616 is 1.

2. What are the Factors of 3609?

Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.

3. 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.

4. How to Find the GCF of 3609 and 3616?

Answer:

Greatest Common Factor of 3609 and 3616 = 1

Step 1: Find the prime factorization of 3609

3609 = 3 x 3 x 401

Step 2: Find the prime factorization of 3616

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

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 3609 and 3616 is 1