Greatest Common Factor of 6754 and 6758

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 6754, 6758 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6754 and 6758 is 2.

GCF(6754,6758) = 2

GCF of 6754 and 6758

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

GCF of:
and

Greatest Common Factor of 6754 and 6758

GCF of 6754 and 6758 is 2

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

Prime Factorization of 6758


2 6758
31 3379
109 109
1

Prime factors of 6758 are 2,31,109. Prime factorization of 6758 in exponential form is:

6758 = 21×311×1091

∴ So by taking common prime factors GCF of 6754 and 6758 is 2

Greatest Common Factor of 6754 and 6758 by matching factors method

Factors of 6754

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

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

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1,2,31,62,109,218,3379,6758

Greatest Common Factor

We found the factors and prime factorization of 6754 and 6758. The biggest common factor number is the GCF number.
So the greatest common factor 6754 and 6758 is 2.

Also check out the Least Common Multiple of 6754 and 6758

Properties of GCF 6754 and 6758

(i) The GCF of 6754 and 6758 is associative

GCF of 6754 and 6758 = GCF of 6758 and 6754

Related Greatest Common Factor of 6754

Related Greatest Common Factor of 6758

Frequently Asked Questions on GCF of 6754 and 6758

1. What is the GCF of 6754 and 6758?

Answer: GCF of 6754 and 6758 is 2.

2. 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.

3. What are the Factors of 6758?

Answer: Factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758. There are 8 integers that are factors of 6758. The greatest factor of 6758 is 6758.

4. How to Find the GCF of 6754 and 6758?

Answer:

Greatest Common Factor of 6754 and 6758 = 2

Step 1: Find the prime factorization of 6754

6754 = 2 x 11 x 307

Step 2: Find the prime factorization of 6758

6758 = 2 x 31 x 109

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6754 and 6758 is 2