Greatest Common Factor of 1616 and 1622

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 1616, 1622 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1616 and 1622 is 2.

GCF(1616,1622) = 2

GCF of 1616 and 1622

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

GCF of:
and

Greatest Common Factor of 1616 and 1622

GCF of 1616 and 1622 is 2

Prime Factorization of 1616


2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 1616 are 2,101. Prime factorization of 1616 in exponential form is:

1616 = 24×1011

Prime Factorization of 1622


2 1622
811 811
1

Prime factors of 1622 are 2,811. Prime factorization of 1622 in exponential form is:

1622 = 21×8111

∴ So by taking common prime factors GCF of 1616 and 1622 is 2

Greatest Common Factor of 1616 and 1622 by matching factors method

Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1,2,4,8,16,101,202,404,808,1616

Factors of 1622

List of positive integer factors of 1622 that divides 1622 without a remainder.

1,2,811,1622

Greatest Common Factor

We found the factors and prime factorization of 1616 and 1622. The biggest common factor number is the GCF number.
So the greatest common factor 1616 and 1622 is 2.

Also check out the Least Common Multiple of 1616 and 1622

Properties of GCF 1616 and 1622

(i) The GCF of 1616 and 1622 is associative

GCF of 1616 and 1622 = GCF of 1622 and 1616

Related Greatest Common Factor of 1616

Related Greatest Common Factor of 1622

Frequently Asked Questions on GCF of 1616 and 1622

1. What is the GCF of 1616 and 1622?

Answer: GCF of 1616 and 1622 is 2.

2. What are the Factors of 1616?

Answer: Factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616. There are 10 integers that are factors of 1616. The greatest factor of 1616 is 1616.

3. What are the Factors of 1622?

Answer: Factors of 1622 are 1, 2, 811, 1622. There are 4 integers that are factors of 1622. The greatest factor of 1622 is 1622.

4. How to Find the GCF of 1616 and 1622?

Answer:

Greatest Common Factor of 1616 and 1622 = 2

Step 1: Find the prime factorization of 1616

1616 = 2 x 2 x 2 x 2 x 101

Step 2: Find the prime factorization of 1622

1622 = 2 x 811

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 1616 and 1622 is 2