Greatest Common Factor of 8954 and 8961

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 8954, 8961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8954 and 8961 is 1.

GCF(8954,8961) = 1

GCF of 8954 and 8961

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

GCF of:
and

Greatest Common Factor of 8954 and 8961

GCF of 8954 and 8961 is 1

Prime Factorization of 8954


2 8954
11 4477
11 407
37 37
1

Prime factors of 8954 are 2,11,37. Prime factorization of 8954 in exponential form is:

8954 = 21×112×371

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

∴ So by taking common prime factors GCF of 8954 and 8961 is 1

Greatest Common Factor of 8954 and 8961 by matching factors method

Factors of 8954

List of positive integer factors of 8954 that divides 8954 without a remainder.

1,2,11,22,37,74,121,242,407,814,4477,8954

Factors of 8961

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

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

Greatest Common Factor

We found the factors and prime factorization of 8954 and 8961. The biggest common factor number is the GCF number.
So the greatest common factor 8954 and 8961 is 1.

Also check out the Least Common Multiple of 8954 and 8961

Properties of GCF 8954 and 8961

(i) The GCF of 8954 and 8961 is associative

GCF of 8954 and 8961 = GCF of 8961 and 8954

Related Greatest Common Factor of 8954

Related Greatest Common Factor of 8961

Frequently Asked Questions on GCF of 8954 and 8961

1. What is the GCF of 8954 and 8961?

Answer: GCF of 8954 and 8961 is 1.

2. What are the Factors of 8954?

Answer: Factors of 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954. There are 12 integers that are factors of 8954. The greatest factor of 8954 is 8954.

3. 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.

4. How to Find the GCF of 8954 and 8961?

Answer:

Greatest Common Factor of 8954 and 8961 = 1

Step 1: Find the prime factorization of 8954

8954 = 2 x 11 x 11 x 37

Step 2: Find the prime factorization of 8961

8961 = 3 x 29 x 103

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 8954 and 8961 is 1