Greatest Common Factor of 2967 and 2970

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, 2970 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2967 and 2970 is 3.

GCF(2967,2970) = 3

GCF of 2967 and 2970

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

GCF of:
and

Greatest Common Factor of 2967 and 2970

GCF of 2967 and 2970 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 2970


2 2970
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 2970 are 2,3,5,11. Prime factorization of 2970 in exponential form is:

2970 = 21×33×51×111

∴ So by taking common prime factors GCF of 2967 and 2970 is 3

Greatest Common Factor of 2967 and 2970 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 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors and prime factorization of 2967 and 2970. The biggest common factor number is the GCF number.
So the greatest common factor 2967 and 2970 is 3.

Also check out the Least Common Multiple of 2967 and 2970

Properties of GCF 2967 and 2970

(i) The GCF of 2967 and 2970 is associative

GCF of 2967 and 2970 = GCF of 2970 and 2967

Related Greatest Common Factor of 2967

Related Greatest Common Factor of 2970

Frequently Asked Questions on GCF of 2967 and 2970

1. What is the GCF of 2967 and 2970?

Answer: GCF of 2967 and 2970 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 2970?

Answer: Factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. There are 32 integers that are factors of 2970. The greatest factor of 2970 is 2970.

4. How to Find the GCF of 2967 and 2970?

Answer:

Greatest Common Factor of 2967 and 2970 = 3

Step 1: Find the prime factorization of 2967

2967 = 3 x 23 x 43

Step 2: Find the prime factorization of 2970

2970 = 2 x 3 x 3 x 3 x 5 x 11

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 2970 is 3