Greatest Common Factor of 6749 and 6754

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 6749, 6754 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6749 and 6754 is 1.

GCF(6749,6754) = 1

GCF of 6749 and 6754

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

GCF of:
and

Greatest Common Factor of 6749 and 6754

GCF of 6749 and 6754 is 1

Prime Factorization of 6749


17 6749
397 397
1

Prime factors of 6749 are 17,397. Prime factorization of 6749 in exponential form is:

6749 = 171×3971

Prime Factorization of 6754


2 6754
11 3377
307 307
1

Prime factors of 6754 are 2,11,307. Prime factorization of 6754 in exponential form is:

6754 = 21×111×3071

∴ So by taking common prime factors GCF of 6749 and 6754 is 1

Greatest Common Factor of 6749 and 6754 by matching factors method

Factors of 6749

List of positive integer factors of 6749 that divides 6749 without a remainder.

1,17,397,6749

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1,2,11,22,307,614,3377,6754

Greatest Common Factor

We found the factors and prime factorization of 6749 and 6754. The biggest common factor number is the GCF number.
So the greatest common factor 6749 and 6754 is 1.

Also check out the Least Common Multiple of 6749 and 6754

Properties of GCF 6749 and 6754

(i) The GCF of 6749 and 6754 is associative

GCF of 6749 and 6754 = GCF of 6754 and 6749

Related Greatest Common Factor of 6749

Related Greatest Common Factor of 6754

Frequently Asked Questions on GCF of 6749 and 6754

1. What is the GCF of 6749 and 6754?

Answer: GCF of 6749 and 6754 is 1.

2. What are the Factors of 6749?

Answer: Factors of 6749 are 1, 17, 397, 6749. There are 4 integers that are factors of 6749. The greatest factor of 6749 is 6749.

3. What are the Factors of 6754?

Answer: Factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754. There are 8 integers that are factors of 6754. The greatest factor of 6754 is 6754.

4. How to Find the GCF of 6749 and 6754?

Answer:

Greatest Common Factor of 6749 and 6754 = 1

Step 1: Find the prime factorization of 6749

6749 = 17 x 397

Step 2: Find the prime factorization of 6754

6754 = 2 x 11 x 307

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 6749 and 6754 is 1