Greatest Common Factor of 2967 and 2973

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 2967, 2973 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2967 and 2973 is 3.

GCF(2967,2973) = 3

GCF of 2967 and 2973

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

GCF of:
and

Greatest Common Factor of 2967 and 2973

GCF of 2967 and 2973 is 3

Prime Factorization of 2967


3 2967
23 989
43 43
1

Prime factors of 2967 are 3,23,43. Prime factorization of 2967 in exponential form is:

2967 = 31×231×431

Prime Factorization of 2973


3 2973
991 991
1

Prime factors of 2973 are 3,991. Prime factorization of 2973 in exponential form is:

2973 = 31×9911

∴ So by taking common prime factors GCF of 2967 and 2973 is 3

Greatest Common Factor of 2967 and 2973 by matching factors method

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Factors of 2973

List of positive integer factors of 2973 that divides 2973 without a remainder.

1,3,991,2973

Greatest Common Factor

We found the factors and prime factorization of 2967 and 2973. The biggest common factor number is the GCF number.
So the greatest common factor 2967 and 2973 is 3.

Also check out the Least Common Multiple of 2967 and 2973

Properties of GCF 2967 and 2973

(i) The GCF of 2967 and 2973 is associative

GCF of 2967 and 2973 = GCF of 2973 and 2967

Related Greatest Common Factor of 2967

Related Greatest Common Factor of 2973

Frequently Asked Questions on GCF of 2967 and 2973

1. What is the GCF of 2967 and 2973?

Answer: GCF of 2967 and 2973 is 3.

2. What are the Factors of 2967?

Answer: Factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967. There are 8 integers that are factors of 2967. The greatest factor of 2967 is 2967.

3. What are the Factors of 2973?

Answer: Factors of 2973 are 1, 3, 991, 2973. There are 4 integers that are factors of 2973. The greatest factor of 2973 is 2973.

4. How to Find the GCF of 2967 and 2973?

Answer:

Greatest Common Factor of 2967 and 2973 = 3

Step 1: Find the prime factorization of 2967

2967 = 3 x 23 x 43

Step 2: Find the prime factorization of 2973

2973 = 3 x 991

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 2967 and 2973 is 3