Greatest Common Factor of 3616 and 3623

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, 3623 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3616 and 3623 is 1.

GCF(3616,3623) = 1

GCF of 3616 and 3623

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

GCF of:
and

Greatest Common Factor of 3616 and 3623

GCF of 3616 and 3623 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 3623


3623 3623
1

Prime factors of 3623 are 3623. Prime factorization of 3623 in exponential form is:

3623 = 36231

∴ So by taking common prime factors GCF of 3616 and 3623 is 1

Greatest Common Factor of 3616 and 3623 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 3623

List of positive integer factors of 3623 that divides 3623 without a remainder.

1,3623

Greatest Common Factor

We found the factors and prime factorization of 3616 and 3623. The biggest common factor number is the GCF number.
So the greatest common factor 3616 and 3623 is 1.

Also check out the Least Common Multiple of 3616 and 3623

Properties of GCF 3616 and 3623

(i) The GCF of 3616 and 3623 is associative

GCF of 3616 and 3623 = GCF of 3623 and 3616

Related Greatest Common Factor of 3616

Related Greatest Common Factor of 3623

Frequently Asked Questions on GCF of 3616 and 3623

1. What is the GCF of 3616 and 3623?

Answer: GCF of 3616 and 3623 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 3623?

Answer: Factors of 3623 are 1, 3623. There are 2 integers that are factors of 3623. The greatest factor of 3623 is 3623.

4. How to Find the GCF of 3616 and 3623?

Answer:

Greatest Common Factor of 3616 and 3623 = 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 3623

3623 = 3623

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 3623 is 1