Greatest Common Factor of 2979 and 2985

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 2979, 2985 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2979 and 2985 is 3.

GCF(2979,2985) = 3

GCF of 2979 and 2985

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

GCF of:
and

Greatest Common Factor of 2979 and 2985

GCF of 2979 and 2985 is 3

Prime Factorization of 2979


3 2979
3 993
331 331
1

Prime factors of 2979 are 3,331. Prime factorization of 2979 in exponential form is:

2979 = 32×3311

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

∴ So by taking common prime factors GCF of 2979 and 2985 is 3

Greatest Common Factor of 2979 and 2985 by matching factors method

Factors of 2979

List of positive integer factors of 2979 that divides 2979 without a remainder.

1,3,9,331,993,2979

Factors of 2985

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

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

Greatest Common Factor

We found the factors and prime factorization of 2979 and 2985. The biggest common factor number is the GCF number.
So the greatest common factor 2979 and 2985 is 3.

Also check out the Least Common Multiple of 2979 and 2985

Properties of GCF 2979 and 2985

(i) The GCF of 2979 and 2985 is associative

GCF of 2979 and 2985 = GCF of 2985 and 2979

Related Greatest Common Factor of 2979

Related Greatest Common Factor of 2985

Frequently Asked Questions on GCF of 2979 and 2985

1. What is the GCF of 2979 and 2985?

Answer: GCF of 2979 and 2985 is 3.

2. What are the Factors of 2979?

Answer: Factors of 2979 are 1, 3, 9, 331, 993, 2979. There are 6 integers that are factors of 2979. The greatest factor of 2979 is 2979.

3. 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.

4. How to Find the GCF of 2979 and 2985?

Answer:

Greatest Common Factor of 2979 and 2985 = 3

Step 1: Find the prime factorization of 2979

2979 = 3 x 3 x 331

Step 2: Find the prime factorization of 2985

2985 = 3 x 5 x 199

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 2979 and 2985 is 3