Greatest Common Factor of 1623 and 1627

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 1623, 1627 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1623 and 1627 is 1.

GCF(1623,1627) = 1

GCF of 1623 and 1627

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

GCF of:
and

Greatest Common Factor of 1623 and 1627

GCF of 1623 and 1627 is 1

Prime Factorization of 1623


3 1623
541 541
1

Prime factors of 1623 are 3,541. Prime factorization of 1623 in exponential form is:

1623 = 31×5411

Prime Factorization of 1627


1627 1627
1

Prime factors of 1627 are 1627. Prime factorization of 1627 in exponential form is:

1627 = 16271

∴ So by taking common prime factors GCF of 1623 and 1627 is 1

Greatest Common Factor of 1623 and 1627 by matching factors method

Factors of 1623

List of positive integer factors of 1623 that divides 1623 without a remainder.

1,3,541,1623

Factors of 1627

List of positive integer factors of 1627 that divides 1627 without a remainder.

1,1627

Greatest Common Factor

We found the factors and prime factorization of 1623 and 1627. The biggest common factor number is the GCF number.
So the greatest common factor 1623 and 1627 is 1.

Also check out the Least Common Multiple of 1623 and 1627

Properties of GCF 1623 and 1627

(i) The GCF of 1623 and 1627 is associative

GCF of 1623 and 1627 = GCF of 1627 and 1623

Related Greatest Common Factor of 1623

Related Greatest Common Factor of 1627

Frequently Asked Questions on GCF of 1623 and 1627

1. What is the GCF of 1623 and 1627?

Answer: GCF of 1623 and 1627 is 1.

2. What are the Factors of 1623?

Answer: Factors of 1623 are 1, 3, 541, 1623. There are 4 integers that are factors of 1623. The greatest factor of 1623 is 1623.

3. What are the Factors of 1627?

Answer: Factors of 1627 are 1, 1627. There are 2 integers that are factors of 1627. The greatest factor of 1627 is 1627.

4. How to Find the GCF of 1623 and 1627?

Answer:

Greatest Common Factor of 1623 and 1627 = 1

Step 1: Find the prime factorization of 1623

1623 = 3 x 541

Step 2: Find the prime factorization of 1627

1627 = 1627

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 1623 and 1627 is 1