Greatest Common Factor of 7965 and 7967

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, 7967 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7965 and 7967 is 1.

GCF(7965,7967) = 1

GCF of 7965 and 7967

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

GCF of:
and

Greatest Common Factor of 7965 and 7967

GCF of 7965 and 7967 is 1

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 7967


31 7967
257 257
1

Prime factors of 7967 are 31,257. Prime factorization of 7967 in exponential form is:

7967 = 311×2571

∴ So by taking common prime factors GCF of 7965 and 7967 is 1

Greatest Common Factor of 7965 and 7967 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 7967

List of positive integer factors of 7967 that divides 7967 without a remainder.

1,31,257,7967

Greatest Common Factor

We found the factors and prime factorization of 7965 and 7967. The biggest common factor number is the GCF number.
So the greatest common factor 7965 and 7967 is 1.

Also check out the Least Common Multiple of 7965 and 7967

Properties of GCF 7965 and 7967

(i) The GCF of 7965 and 7967 is associative

GCF of 7965 and 7967 = GCF of 7967 and 7965

Related Greatest Common Factor of 7965

Related Greatest Common Factor of 7967

Frequently Asked Questions on GCF of 7965 and 7967

1. What is the GCF of 7965 and 7967?

Answer: GCF of 7965 and 7967 is 1.

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 7967?

Answer: Factors of 7967 are 1, 31, 257, 7967. There are 4 integers that are factors of 7967. The greatest factor of 7967 is 7967.

4. How to Find the GCF of 7965 and 7967?

Answer:

Greatest Common Factor of 7965 and 7967 = 1

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 7967

7967 = 31 x 257

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 7965 and 7967 is 1