Greatest Common Factor of 7668 and 7673

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 7668, 7673 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7668 and 7673 is 1.

GCF(7668,7673) = 1

GCF of 7668 and 7673

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

GCF of:
and

Greatest Common Factor of 7668 and 7673

GCF of 7668 and 7673 is 1

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

Prime Factorization of 7673


7673 7673
1

Prime factors of 7673 are 7673. Prime factorization of 7673 in exponential form is:

7673 = 76731

∴ So by taking common prime factors GCF of 7668 and 7673 is 1

Greatest Common Factor of 7668 and 7673 by matching factors method

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

Factors of 7673

List of positive integer factors of 7673 that divides 7673 without a remainder.

1,7673

Greatest Common Factor

We found the factors and prime factorization of 7668 and 7673. The biggest common factor number is the GCF number.
So the greatest common factor 7668 and 7673 is 1.

Also check out the Least Common Multiple of 7668 and 7673

Properties of GCF 7668 and 7673

(i) The GCF of 7668 and 7673 is associative

GCF of 7668 and 7673 = GCF of 7673 and 7668

Frequently Asked Questions on GCF of 7668 and 7673

1. What is the GCF of 7668 and 7673?

Answer: GCF of 7668 and 7673 is 1.

2. 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.

3. What are the Factors of 7673?

Answer: Factors of 7673 are 1, 7673. There are 2 integers that are factors of 7673. The greatest factor of 7673 is 7673.

4. How to Find the GCF of 7668 and 7673?

Answer:

Greatest Common Factor of 7668 and 7673 = 1

Step 1: Find the prime factorization of 7668

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

Step 2: Find the prime factorization of 7673

7673 = 7673

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 7668 and 7673 is 1