Greatest Common Factor of 8967 and 8973

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 8967, 8973 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8967 and 8973 is 3.

GCF(8967,8973) = 3

GCF of 8967 and 8973

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

GCF of:
and

Greatest Common Factor of 8967 and 8973

GCF of 8967 and 8973 is 3

Prime Factorization of 8967


3 8967
7 2989
7 427
61 61
1

Prime factors of 8967 are 3,7,61. Prime factorization of 8967 in exponential form is:

8967 = 31×72×611

Prime Factorization of 8973


3 8973
3 2991
997 997
1

Prime factors of 8973 are 3,997. Prime factorization of 8973 in exponential form is:

8973 = 32×9971

∴ So by taking common prime factors GCF of 8967 and 8973 is 3

Greatest Common Factor of 8967 and 8973 by matching factors method

Factors of 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1,3,7,21,49,61,147,183,427,1281,2989,8967

Factors of 8973

List of positive integer factors of 8973 that divides 8973 without a remainder.

1,3,9,997,2991,8973

Greatest Common Factor

We found the factors and prime factorization of 8967 and 8973. The biggest common factor number is the GCF number.
So the greatest common factor 8967 and 8973 is 3.

Also check out the Least Common Multiple of 8967 and 8973

Properties of GCF 8967 and 8973

(i) The GCF of 8967 and 8973 is associative

GCF of 8967 and 8973 = GCF of 8973 and 8967

Related Greatest Common Factor of 8967

Related Greatest Common Factor of 8973

Frequently Asked Questions on GCF of 8967 and 8973

1. What is the GCF of 8967 and 8973?

Answer: GCF of 8967 and 8973 is 3.

2. What are the Factors of 8967?

Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.

3. What are the Factors of 8973?

Answer: Factors of 8973 are 1, 3, 9, 997, 2991, 8973. There are 6 integers that are factors of 8973. The greatest factor of 8973 is 8973.

4. How to Find the GCF of 8967 and 8973?

Answer:

Greatest Common Factor of 8967 and 8973 = 3

Step 1: Find the prime factorization of 8967

8967 = 3 x 7 x 7 x 61

Step 2: Find the prime factorization of 8973

8973 = 3 x 3 x 997

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8967 and 8973 is 3