Greatest Common Factor of 7965 and 7968

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, 7968 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7965 and 7968 is 3.

GCF(7965,7968) = 3

GCF of 7965 and 7968

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

GCF of:
and

Greatest Common Factor of 7965 and 7968

GCF of 7965 and 7968 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 7968


2 7968
2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 7968 are 2,3,83. Prime factorization of 7968 in exponential form is:

7968 = 25×31×831

∴ So by taking common prime factors GCF of 7965 and 7968 is 3

Greatest Common Factor of 7965 and 7968 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 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968

Greatest Common Factor

We found the factors and prime factorization of 7965 and 7968. The biggest common factor number is the GCF number.
So the greatest common factor 7965 and 7968 is 3.

Also check out the Least Common Multiple of 7965 and 7968

Properties of GCF 7965 and 7968

(i) The GCF of 7965 and 7968 is associative

GCF of 7965 and 7968 = GCF of 7968 and 7965

Related Greatest Common Factor of 7965

Related Greatest Common Factor of 7968

Frequently Asked Questions on GCF of 7965 and 7968

1. What is the GCF of 7965 and 7968?

Answer: GCF of 7965 and 7968 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 7968?

Answer: Factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968. There are 24 integers that are factors of 7968. The greatest factor of 7968 is 7968.

4. How to Find the GCF of 7965 and 7968?

Answer:

Greatest Common Factor of 7965 and 7968 = 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 7968

7968 = 2 x 2 x 2 x 2 x 2 x 3 x 83

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 7968 is 3