Greatest Common Factor of 6629 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 6629, 6633 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6629 and 6633 is 1.

GCF(6629,6633) = 1

GCF of 6629 and 6633

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

GCF of:
and

Greatest Common Factor of 6629 and 6633

GCF of 6629 and 6633 is 1

Prime Factorization of 6629


7 6629
947 947
1

Prime factors of 6629 are 7,947. Prime factorization of 6629 in exponential form is:

6629 = 71×9471

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 6629 and 6633 is 1

Greatest Common Factor of 6629 and 6633 by matching factors method

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1,7,947,6629

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 6629 and 6633. The biggest common factor number is the GCF number.
So the greatest common factor 6629 and 6633 is 1.

Also check out the Least Common Multiple of 6629 and 6633

Properties of GCF 6629 and 6633

(i) The GCF of 6629 and 6633 is associative

GCF of 6629 and 6633 = GCF of 6633 and 6629

Related Greatest Common Factor of 6629

Related Greatest Common Factor of 6633

Frequently Asked Questions on GCF of 6629 and 6633

1. What is the GCF of 6629 and 6633?

Answer: GCF of 6629 and 6633 is 1.

2. What are the Factors of 6629?

Answer: Factors of 6629 are 1, 7, 947, 6629. There are 4 integers that are factors of 6629. The greatest factor of 6629 is 6629.

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 6629 and 6633?

Answer:

Greatest Common Factor of 6629 and 6633 = 1

Step 1: Find the prime factorization of 6629

6629 = 7 x 947

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 = = 1

Step 4: Therefore, the greatest common factor of 6629 and 6633 is 1