Greatest Common Factor of 2959 and 2965

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 2959, 2965 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2959 and 2965 is 1.

GCF(2959,2965) = 1

GCF of 2959 and 2965

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

GCF of:
and

Greatest Common Factor of 2959 and 2965

GCF of 2959 and 2965 is 1

Prime Factorization of 2959


11 2959
269 269
1

Prime factors of 2959 are 11,269. Prime factorization of 2959 in exponential form is:

2959 = 111×2691

Prime Factorization of 2965


5 2965
593 593
1

Prime factors of 2965 are 5,593. Prime factorization of 2965 in exponential form is:

2965 = 51×5931

∴ So by taking common prime factors GCF of 2959 and 2965 is 1

Greatest Common Factor of 2959 and 2965 by matching factors method

Factors of 2959

List of positive integer factors of 2959 that divides 2959 without a remainder.

1,11,269,2959

Factors of 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1,5,593,2965

Greatest Common Factor

We found the factors and prime factorization of 2959 and 2965. The biggest common factor number is the GCF number.
So the greatest common factor 2959 and 2965 is 1.

Also check out the Least Common Multiple of 2959 and 2965

Properties of GCF 2959 and 2965

(i) The GCF of 2959 and 2965 is associative

GCF of 2959 and 2965 = GCF of 2965 and 2959

Related Greatest Common Factor of 2959

Related Greatest Common Factor of 2965

Frequently Asked Questions on GCF of 2959 and 2965

1. What is the GCF of 2959 and 2965?

Answer: GCF of 2959 and 2965 is 1.

2. What are the Factors of 2959?

Answer: Factors of 2959 are 1, 11, 269, 2959. There are 4 integers that are factors of 2959. The greatest factor of 2959 is 2959.

3. What are the Factors of 2965?

Answer: Factors of 2965 are 1, 5, 593, 2965. There are 4 integers that are factors of 2965. The greatest factor of 2965 is 2965.

4. How to Find the GCF of 2959 and 2965?

Answer:

Greatest Common Factor of 2959 and 2965 = 1

Step 1: Find the prime factorization of 2959

2959 = 11 x 269

Step 2: Find the prime factorization of 2965

2965 = 5 x 593

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2959 and 2965 is 1