Greatest Common Factor of 7667 and 7668

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 7667, 7668 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7667 and 7668 is 1.

GCF(7667,7668) = 1

GCF of 7667 and 7668

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

GCF of:
and

Greatest Common Factor of 7667 and 7668

GCF of 7667 and 7668 is 1

Prime Factorization of 7667


11 7667
17 697
41 41
1

Prime factors of 7667 are 11,17,41. Prime factorization of 7667 in exponential form is:

7667 = 111×171×411

Prime Factorization of 7668


2 7668
2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 7668 are 2,3,71. Prime factorization of 7668 in exponential form is:

7668 = 22×33×711

∴ So by taking common prime factors GCF of 7667 and 7668 is 1

Greatest Common Factor of 7667 and 7668 by matching factors method

Factors of 7667

List of positive integer factors of 7667 that divides 7667 without a remainder.

1,11,17,41,187,451,697,7667

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Greatest Common Factor

We found the factors and prime factorization of 7667 and 7668. The biggest common factor number is the GCF number.
So the greatest common factor 7667 and 7668 is 1.

Also check out the Least Common Multiple of 7667 and 7668

Properties of GCF 7667 and 7668

(i) The GCF of 7667 and 7668 is associative

GCF of 7667 and 7668 = GCF of 7668 and 7667

Frequently Asked Questions on GCF of 7667 and 7668

1. What is the GCF of 7667 and 7668?

Answer: GCF of 7667 and 7668 is 1.

2. What are the Factors of 7667?

Answer: Factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667. There are 8 integers that are factors of 7667. The greatest factor of 7667 is 7667.

3. What are the Factors of 7668?

Answer: Factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668. There are 24 integers that are factors of 7668. The greatest factor of 7668 is 7668.

4. How to Find the GCF of 7667 and 7668?

Answer:

Greatest Common Factor of 7667 and 7668 = 1

Step 1: Find the prime factorization of 7667

7667 = 11 x 17 x 41

Step 2: Find the prime factorization of 7668

7668 = 2 x 2 x 3 x 3 x 3 x 71

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 7667 and 7668 is 1