Greatest Common Factor of 2985 and 2991

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 2985, 2991 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2985 and 2991 is 3.

GCF(2985,2991) = 3

GCF of 2985 and 2991

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

GCF of:
and

Greatest Common Factor of 2985 and 2991

GCF of 2985 and 2991 is 3

Prime Factorization of 2985


3 2985
5 995
199 199
1

Prime factors of 2985 are 3,5,199. Prime factorization of 2985 in exponential form is:

2985 = 31×51×1991

Prime Factorization of 2991


3 2991
997 997
1

Prime factors of 2991 are 3,997. Prime factorization of 2991 in exponential form is:

2991 = 31×9971

∴ So by taking common prime factors GCF of 2985 and 2991 is 3

Greatest Common Factor of 2985 and 2991 by matching factors method

Factors of 2985

List of positive integer factors of 2985 that divides 2985 without a remainder.

1,3,5,15,199,597,995,2985

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1,3,997,2991

Greatest Common Factor

We found the factors and prime factorization of 2985 and 2991. The biggest common factor number is the GCF number.
So the greatest common factor 2985 and 2991 is 3.

Also check out the Least Common Multiple of 2985 and 2991

Properties of GCF 2985 and 2991

(i) The GCF of 2985 and 2991 is associative

GCF of 2985 and 2991 = GCF of 2991 and 2985

Related Greatest Common Factor of 2985

Related Greatest Common Factor of 2991

Frequently Asked Questions on GCF of 2985 and 2991

1. What is the GCF of 2985 and 2991?

Answer: GCF of 2985 and 2991 is 3.

2. What are the Factors of 2985?

Answer: Factors of 2985 are 1, 3, 5, 15, 199, 597, 995, 2985. There are 8 integers that are factors of 2985. The greatest factor of 2985 is 2985.

3. What are the Factors of 2991?

Answer: Factors of 2991 are 1, 3, 997, 2991. There are 4 integers that are factors of 2991. The greatest factor of 2991 is 2991.

4. How to Find the GCF of 2985 and 2991?

Answer:

Greatest Common Factor of 2985 and 2991 = 3

Step 1: Find the prime factorization of 2985

2985 = 3 x 5 x 199

Step 2: Find the prime factorization of 2991

2991 = 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 2985 and 2991 is 3