Greatest Common Factor of 8961 and 8966

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, 8966 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8961 and 8966 is 1.

GCF(8961,8966) = 1

GCF of 8961 and 8966

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

GCF of:
and

Greatest Common Factor of 8961 and 8966

GCF of 8961 and 8966 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 8966


2 8966
4483 4483
1

Prime factors of 8966 are 2,4483. Prime factorization of 8966 in exponential form is:

8966 = 21×44831

∴ So by taking common prime factors GCF of 8961 and 8966 is 1

Greatest Common Factor of 8961 and 8966 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 8966

List of positive integer factors of 8966 that divides 8966 without a remainder.

1,2,4483,8966

Greatest Common Factor

We found the factors and prime factorization of 8961 and 8966. The biggest common factor number is the GCF number.
So the greatest common factor 8961 and 8966 is 1.

Also check out the Least Common Multiple of 8961 and 8966

Properties of GCF 8961 and 8966

(i) The GCF of 8961 and 8966 is associative

GCF of 8961 and 8966 = GCF of 8966 and 8961

Related Greatest Common Factor of 8961

Related Greatest Common Factor of 8966

Frequently Asked Questions on GCF of 8961 and 8966

1. What is the GCF of 8961 and 8966?

Answer: GCF of 8961 and 8966 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 8966?

Answer: Factors of 8966 are 1, 2, 4483, 8966. There are 4 integers that are factors of 8966. The greatest factor of 8966 is 8966.

4. How to Find the GCF of 8961 and 8966?

Answer:

Greatest Common Factor of 8961 and 8966 = 1

Step 1: Find the prime factorization of 8961

8961 = 3 x 29 x 103

Step 2: Find the prime factorization of 8966

8966 = 2 x 4483

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 8966 is 1