Greatest Common Factor of 8961 and 8962

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, 8962 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8961 and 8962 is 1.

GCF(8961,8962) = 1

GCF of 8961 and 8962

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

GCF of:
and

Greatest Common Factor of 8961 and 8962

GCF of 8961 and 8962 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 8962


2 8962
4481 4481
1

Prime factors of 8962 are 2,4481. Prime factorization of 8962 in exponential form is:

8962 = 21×44811

∴ So by taking common prime factors GCF of 8961 and 8962 is 1

Greatest Common Factor of 8961 and 8962 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 8962

List of positive integer factors of 8962 that divides 8962 without a remainder.

1,2,4481,8962

Greatest Common Factor

We found the factors and prime factorization of 8961 and 8962. The biggest common factor number is the GCF number.
So the greatest common factor 8961 and 8962 is 1.

Also check out the Least Common Multiple of 8961 and 8962

Properties of GCF 8961 and 8962

(i) The GCF of 8961 and 8962 is associative

GCF of 8961 and 8962 = GCF of 8962 and 8961

Related Greatest Common Factor of 8961

Related Greatest Common Factor of 8962

Frequently Asked Questions on GCF of 8961 and 8962

1. What is the GCF of 8961 and 8962?

Answer: GCF of 8961 and 8962 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 8962?

Answer: Factors of 8962 are 1, 2, 4481, 8962. There are 4 integers that are factors of 8962. The greatest factor of 8962 is 8962.

4. How to Find the GCF of 8961 and 8962?

Answer:

Greatest Common Factor of 8961 and 8962 = 1

Step 1: Find the prime factorization of 8961

8961 = 3 x 29 x 103

Step 2: Find the prime factorization of 8962

8962 = 2 x 4481

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 8962 is 1