Greatest Common Factor of 6627 and 6633

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 6627, 6633 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6627 and 6633 is 3.

GCF(6627,6633) = 3

GCF of 6627 and 6633

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

GCF of:
and

Greatest Common Factor of 6627 and 6633

GCF of 6627 and 6633 is 3

Prime Factorization of 6627


3 6627
47 2209
47 47
1

Prime factors of 6627 are 3,47. Prime factorization of 6627 in exponential form is:

6627 = 31×472

Prime Factorization of 6633


3 6633
3 2211
11 737
67 67
1

Prime factors of 6633 are 3,11,67. Prime factorization of 6633 in exponential form is:

6633 = 32×111×671

∴ So by taking common prime factors GCF of 6627 and 6633 is 3

Greatest Common Factor of 6627 and 6633 by matching factors method

Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1,3,47,141,2209,6627

Factors of 6633

List of positive integer factors of 6633 that divides 6633 without a remainder.

1,3,9,11,33,67,99,201,603,737,2211,6633

Greatest Common Factor

We found the factors and prime factorization of 6627 and 6633. The biggest common factor number is the GCF number.
So the greatest common factor 6627 and 6633 is 3.

Also check out the Least Common Multiple of 6627 and 6633

Properties of GCF 6627 and 6633

(i) The GCF of 6627 and 6633 is associative

GCF of 6627 and 6633 = GCF of 6633 and 6627

Related Greatest Common Factor of 6627

Related Greatest Common Factor of 6633

Frequently Asked Questions on GCF of 6627 and 6633

1. What is the GCF of 6627 and 6633?

Answer: GCF of 6627 and 6633 is 3.

2. What are the Factors of 6627?

Answer: Factors of 6627 are 1, 3, 47, 141, 2209, 6627. There are 6 integers that are factors of 6627. The greatest factor of 6627 is 6627.

3. What are the Factors of 6633?

Answer: Factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633. There are 12 integers that are factors of 6633. The greatest factor of 6633 is 6633.

4. How to Find the GCF of 6627 and 6633?

Answer:

Greatest Common Factor of 6627 and 6633 = 3

Step 1: Find the prime factorization of 6627

6627 = 3 x 47 x 47

Step 2: Find the prime factorization of 6633

6633 = 3 x 3 x 11 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 6627 and 6633 is 3