Greatest Common Factor of 3616 and 3622

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, 3622 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3616 and 3622 is 2.

GCF(3616,3622) = 2

GCF of 3616 and 3622

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

GCF of:
and

Greatest Common Factor of 3616 and 3622

GCF of 3616 and 3622 is 2

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 3622


2 3622
1811 1811
1

Prime factors of 3622 are 2,1811. Prime factorization of 3622 in exponential form is:

3622 = 21×18111

∴ So by taking common prime factors GCF of 3616 and 3622 is 2

Greatest Common Factor of 3616 and 3622 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 3622

List of positive integer factors of 3622 that divides 3622 without a remainder.

1,2,1811,3622

Greatest Common Factor

We found the factors and prime factorization of 3616 and 3622. The biggest common factor number is the GCF number.
So the greatest common factor 3616 and 3622 is 2.

Also check out the Least Common Multiple of 3616 and 3622

Properties of GCF 3616 and 3622

(i) The GCF of 3616 and 3622 is associative

GCF of 3616 and 3622 = GCF of 3622 and 3616

Related Greatest Common Factor of 3616

Related Greatest Common Factor of 3622

Frequently Asked Questions on GCF of 3616 and 3622

1. What is the GCF of 3616 and 3622?

Answer: GCF of 3616 and 3622 is 2.

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 3622?

Answer: Factors of 3622 are 1, 2, 1811, 3622. There are 4 integers that are factors of 3622. The greatest factor of 3622 is 3622.

4. How to Find the GCF of 3616 and 3622?

Answer:

Greatest Common Factor of 3616 and 3622 = 2

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 3622

3622 = 2 x 1811

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 3616 and 3622 is 2