Greatest Common Factor of 7965 and 7971

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 7965, 7971 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7965 and 7971 is 3.

GCF(7965,7971) = 3

GCF of 7965 and 7971

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

GCF of:
and

Greatest Common Factor of 7965 and 7971

GCF of 7965 and 7971 is 3

Prime Factorization of 7965


3 7965
3 2655
3 885
5 295
59 59
1

Prime factors of 7965 are 3,5,59. Prime factorization of 7965 in exponential form is:

7965 = 33×51×591

Prime Factorization of 7971


3 7971
2657 2657
1

Prime factors of 7971 are 3,2657. Prime factorization of 7971 in exponential form is:

7971 = 31×26571

∴ So by taking common prime factors GCF of 7965 and 7971 is 3

Greatest Common Factor of 7965 and 7971 by matching factors method

Factors of 7965

List of positive integer factors of 7965 that divides 7965 without a remainder.

1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Greatest Common Factor

We found the factors and prime factorization of 7965 and 7971. The biggest common factor number is the GCF number.
So the greatest common factor 7965 and 7971 is 3.

Also check out the Least Common Multiple of 7965 and 7971

Properties of GCF 7965 and 7971

(i) The GCF of 7965 and 7971 is associative

GCF of 7965 and 7971 = GCF of 7971 and 7965

Related Greatest Common Factor of 7965

Related Greatest Common Factor of 7971

Frequently Asked Questions on GCF of 7965 and 7971

1. What is the GCF of 7965 and 7971?

Answer: GCF of 7965 and 7971 is 3.

2. What are the Factors of 7965?

Answer: Factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965. There are 16 integers that are factors of 7965. The greatest factor of 7965 is 7965.

3. What are the Factors of 7971?

Answer: Factors of 7971 are 1, 3, 2657, 7971. There are 4 integers that are factors of 7971. The greatest factor of 7971 is 7971.

4. How to Find the GCF of 7965 and 7971?

Answer:

Greatest Common Factor of 7965 and 7971 = 3

Step 1: Find the prime factorization of 7965

7965 = 3 x 3 x 3 x 5 x 59

Step 2: Find the prime factorization of 7971

7971 = 3 x 2657

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7965 and 7971 is 3