Greatest Common Factor of 6762 and 6768

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 6762, 6768 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6762 and 6768 is 6.

GCF(6762,6768) = 6

GCF of 6762 and 6768

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

GCF of:
and

Greatest Common Factor of 6762 and 6768

GCF of 6762 and 6768 is 6

Prime Factorization of 6762


2 6762
3 3381
7 1127
7 161
23 23
1

Prime factors of 6762 are 2,3,7,23. Prime factorization of 6762 in exponential form is:

6762 = 21×31×72×231

Prime Factorization of 6768


2 6768
2 3384
2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 6768 are 2,3,47. Prime factorization of 6768 in exponential form is:

6768 = 24×32×471

∴ So by taking common prime factors GCF of 6762 and 6768 is 6

Greatest Common Factor of 6762 and 6768 by matching factors method

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Factors of 6768

List of positive integer factors of 6768 that divides 6768 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768

Greatest Common Factor

We found the factors and prime factorization of 6762 and 6768. The biggest common factor number is the GCF number.
So the greatest common factor 6762 and 6768 is 6.

Also check out the Least Common Multiple of 6762 and 6768

Properties of GCF 6762 and 6768

(i) The GCF of 6762 and 6768 is associative

GCF of 6762 and 6768 = GCF of 6768 and 6762

Related Greatest Common Factor of 6762

Related Greatest Common Factor of 6768

Frequently Asked Questions on GCF of 6762 and 6768

1. What is the GCF of 6762 and 6768?

Answer: GCF of 6762 and 6768 is 6.

2. What are the Factors of 6762?

Answer: Factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762. There are 24 integers that are factors of 6762. The greatest factor of 6762 is 6762.

3. What are the Factors of 6768?

Answer: Factors of 6768 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768. There are 30 integers that are factors of 6768. The greatest factor of 6768 is 6768.

4. How to Find the GCF of 6762 and 6768?

Answer:

Greatest Common Factor of 6762 and 6768 = 6

Step 1: Find the prime factorization of 6762

6762 = 2 x 3 x 7 x 7 x 23

Step 2: Find the prime factorization of 6768

6768 = 2 x 2 x 2 x 2 x 3 x 3 x 47

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6762 and 6768 is 6