Greatest Common Factor of 2901 and 2907

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 2901, 2907 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2901 and 2907 is 3.

GCF(2901,2907) = 3

GCF of 2901 and 2907

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

GCF of:
and

Greatest Common Factor of 2901 and 2907

GCF of 2901 and 2907 is 3

Prime Factorization of 2901


3 2901
967 967
1

Prime factors of 2901 are 3,967. Prime factorization of 2901 in exponential form is:

2901 = 31×9671

Prime Factorization of 2907


3 2907
3 969
17 323
19 19
1

Prime factors of 2907 are 3,17,19. Prime factorization of 2907 in exponential form is:

2907 = 32×171×191

∴ So by taking common prime factors GCF of 2901 and 2907 is 3

Greatest Common Factor of 2901 and 2907 by matching factors method

Factors of 2901

List of positive integer factors of 2901 that divides 2901 without a remainder.

1,3,967,2901

Factors of 2907

List of positive integer factors of 2907 that divides 2907 without a remainder.

1,3,9,17,19,51,57,153,171,323,969,2907

Greatest Common Factor

We found the factors and prime factorization of 2901 and 2907. The biggest common factor number is the GCF number.
So the greatest common factor 2901 and 2907 is 3.

Also check out the Least Common Multiple of 2901 and 2907

Properties of GCF 2901 and 2907

(i) The GCF of 2901 and 2907 is associative

GCF of 2901 and 2907 = GCF of 2907 and 2901

Related Greatest Common Factor of 2901

Related Greatest Common Factor of 2907

Frequently Asked Questions on GCF of 2901 and 2907

1. What is the GCF of 2901 and 2907?

Answer: GCF of 2901 and 2907 is 3.

2. What are the Factors of 2901?

Answer: Factors of 2901 are 1, 3, 967, 2901. There are 4 integers that are factors of 2901. The greatest factor of 2901 is 2901.

3. What are the Factors of 2907?

Answer: Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907. There are 12 integers that are factors of 2907. The greatest factor of 2907 is 2907.

4. How to Find the GCF of 2901 and 2907?

Answer:

Greatest Common Factor of 2901 and 2907 = 3

Step 1: Find the prime factorization of 2901

2901 = 3 x 967

Step 2: Find the prime factorization of 2907

2907 = 3 x 3 x 17 x 19

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 2901 and 2907 is 3