Greatest Common Factor of 1617 and 1621

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 1617, 1621 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1617 and 1621 is 1.

GCF(1617,1621) = 1

GCF of 1617 and 1621

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

GCF of:
and

Greatest Common Factor of 1617 and 1621

GCF of 1617 and 1621 is 1

Prime Factorization of 1617


3 1617
7 539
7 77
11 11
1

Prime factors of 1617 are 3,7,11. Prime factorization of 1617 in exponential form is:

1617 = 31×72×111

Prime Factorization of 1621


1621 1621
1

Prime factors of 1621 are 1621. Prime factorization of 1621 in exponential form is:

1621 = 16211

∴ So by taking common prime factors GCF of 1617 and 1621 is 1

Greatest Common Factor of 1617 and 1621 by matching factors method

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1,3,7,11,21,33,49,77,147,231,539,1617

Factors of 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1,1621

Greatest Common Factor

We found the factors and prime factorization of 1617 and 1621. The biggest common factor number is the GCF number.
So the greatest common factor 1617 and 1621 is 1.

Also check out the Least Common Multiple of 1617 and 1621

Properties of GCF 1617 and 1621

(i) The GCF of 1617 and 1621 is associative

GCF of 1617 and 1621 = GCF of 1621 and 1617

Related Greatest Common Factor of 1617

Related Greatest Common Factor of 1621

Frequently Asked Questions on GCF of 1617 and 1621

1. What is the GCF of 1617 and 1621?

Answer: GCF of 1617 and 1621 is 1.

2. What are the Factors of 1617?

Answer: Factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617. There are 12 integers that are factors of 1617. The greatest factor of 1617 is 1617.

3. What are the Factors of 1621?

Answer: Factors of 1621 are 1, 1621. There are 2 integers that are factors of 1621. The greatest factor of 1621 is 1621.

4. How to Find the GCF of 1617 and 1621?

Answer:

Greatest Common Factor of 1617 and 1621 = 1

Step 1: Find the prime factorization of 1617

1617 = 3 x 7 x 7 x 11

Step 2: Find the prime factorization of 1621

1621 = 1621

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 1617 and 1621 is 1