Greatest Common Factor of 8965 and 8967

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 8965, 8967 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8965 and 8967 is 1.

GCF(8965,8967) = 1

GCF of 8965 and 8967

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

GCF of:
and

Greatest Common Factor of 8965 and 8967

GCF of 8965 and 8967 is 1

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

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

∴ So by taking common prime factors GCF of 8965 and 8967 is 1

Greatest Common Factor of 8965 and 8967 by matching factors method

Factors of 8965

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

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

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

Greatest Common Factor

We found the factors and prime factorization of 8965 and 8967. The biggest common factor number is the GCF number.
So the greatest common factor 8965 and 8967 is 1.

Also check out the Least Common Multiple of 8965 and 8967

Properties of GCF 8965 and 8967

(i) The GCF of 8965 and 8967 is associative

GCF of 8965 and 8967 = GCF of 8967 and 8965

Related Greatest Common Factor of 8965

Related Greatest Common Factor of 8967

Frequently Asked Questions on GCF of 8965 and 8967

1. What is the GCF of 8965 and 8967?

Answer: GCF of 8965 and 8967 is 1.

2. 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.

3. 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.

4. How to Find the GCF of 8965 and 8967?

Answer:

Greatest Common Factor of 8965 and 8967 = 1

Step 1: Find the prime factorization of 8965

8965 = 5 x 11 x 163

Step 2: Find the prime factorization of 8967

8967 = 3 x 7 x 7 x 61

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 8965 and 8967 is 1