Greatest Common Factor of 8961 and 8965

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 8961, 8965 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8961 and 8965 is 1.

GCF(8961,8965) = 1

GCF of 8961 and 8965

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

GCF of:
and

Greatest Common Factor of 8961 and 8965

GCF of 8961 and 8965 is 1

Prime Factorization of 8961


3 8961
29 2987
103 103
1

Prime factors of 8961 are 3,29,103. Prime factorization of 8961 in exponential form is:

8961 = 31×291×1031

Prime Factorization of 8965


5 8965
11 1793
163 163
1

Prime factors of 8965 are 5,11,163. Prime factorization of 8965 in exponential form is:

8965 = 51×111×1631

∴ So by taking common prime factors GCF of 8961 and 8965 is 1

Greatest Common Factor of 8961 and 8965 by matching factors method

Factors of 8961

List of positive integer factors of 8961 that divides 8961 without a remainder.

1,3,29,87,103,309,2987,8961

Factors of 8965

List of positive integer factors of 8965 that divides 8965 without a remainder.

1,5,11,55,163,815,1793,8965

Greatest Common Factor

We found the factors and prime factorization of 8961 and 8965. The biggest common factor number is the GCF number.
So the greatest common factor 8961 and 8965 is 1.

Also check out the Least Common Multiple of 8961 and 8965

Properties of GCF 8961 and 8965

(i) The GCF of 8961 and 8965 is associative

GCF of 8961 and 8965 = GCF of 8965 and 8961

Related Greatest Common Factor of 8961

Related Greatest Common Factor of 8965

Frequently Asked Questions on GCF of 8961 and 8965

1. What is the GCF of 8961 and 8965?

Answer: GCF of 8961 and 8965 is 1.

2. What are the Factors of 8961?

Answer: Factors of 8961 are 1, 3, 29, 87, 103, 309, 2987, 8961. There are 8 integers that are factors of 8961. The greatest factor of 8961 is 8961.

3. What are the Factors of 8965?

Answer: Factors of 8965 are 1, 5, 11, 55, 163, 815, 1793, 8965. There are 8 integers that are factors of 8965. The greatest factor of 8965 is 8965.

4. How to Find the GCF of 8961 and 8965?

Answer:

Greatest Common Factor of 8961 and 8965 = 1

Step 1: Find the prime factorization of 8961

8961 = 3 x 29 x 103

Step 2: Find the prime factorization of 8965

8965 = 5 x 11 x 163

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 8961 and 8965 is 1