Greatest Common Factor of 6696 and 6697

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 6696, 6697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6696 and 6697 is 1.

GCF(6696,6697) = 1

GCF of 6696 and 6697

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

GCF of:
and

Greatest Common Factor of 6696 and 6697

GCF of 6696 and 6697 is 1

Prime Factorization of 6696


2 6696
2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 6696 are 2,3,31. Prime factorization of 6696 in exponential form is:

6696 = 23×33×311

Prime Factorization of 6697


37 6697
181 181
1

Prime factors of 6697 are 37,181. Prime factorization of 6697 in exponential form is:

6697 = 371×1811

∴ So by taking common prime factors GCF of 6696 and 6697 is 1

Greatest Common Factor of 6696 and 6697 by matching factors method

Factors of 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696

Factors of 6697

List of positive integer factors of 6697 that divides 6697 without a remainder.

1,37,181,6697

Greatest Common Factor

We found the factors and prime factorization of 6696 and 6697. The biggest common factor number is the GCF number.
So the greatest common factor 6696 and 6697 is 1.

Also check out the Least Common Multiple of 6696 and 6697

Properties of GCF 6696 and 6697

(i) The GCF of 6696 and 6697 is associative

GCF of 6696 and 6697 = GCF of 6697 and 6696

Related Greatest Common Factor of 6696

Related Greatest Common Factor of 6697

Frequently Asked Questions on GCF of 6696 and 6697

1. What is the GCF of 6696 and 6697?

Answer: GCF of 6696 and 6697 is 1.

2. What are the Factors of 6696?

Answer: Factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696. There are 32 integers that are factors of 6696. The greatest factor of 6696 is 6696.

3. What are the Factors of 6697?

Answer: Factors of 6697 are 1, 37, 181, 6697. There are 4 integers that are factors of 6697. The greatest factor of 6697 is 6697.

4. How to Find the GCF of 6696 and 6697?

Answer:

Greatest Common Factor of 6696 and 6697 = 1

Step 1: Find the prime factorization of 6696

6696 = 2 x 2 x 2 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 6697

6697 = 37 x 181

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 6696 and 6697 is 1