Greatest Common Factor of 5960 and 5965

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 5960, 5965 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5960 and 5965 is 5.

GCF(5960,5965) = 5

GCF of 5960 and 5965

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

GCF of:
and

Greatest Common Factor of 5960 and 5965

GCF of 5960 and 5965 is 5

Prime Factorization of 5960


2 5960
2 2980
2 1490
5 745
149 149
1

Prime factors of 5960 are 2,5,149. Prime factorization of 5960 in exponential form is:

5960 = 23×51×1491

Prime Factorization of 5965


5 5965
1193 1193
1

Prime factors of 5965 are 5,1193. Prime factorization of 5965 in exponential form is:

5965 = 51×11931

∴ So by taking common prime factors GCF of 5960 and 5965 is 5

Greatest Common Factor of 5960 and 5965 by matching factors method

Factors of 5960

List of positive integer factors of 5960 that divides 5960 without a remainder.

1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960

Factors of 5965

List of positive integer factors of 5965 that divides 5965 without a remainder.

1,5,1193,5965

Greatest Common Factor

We found the factors and prime factorization of 5960 and 5965. The biggest common factor number is the GCF number.
So the greatest common factor 5960 and 5965 is 5.

Also check out the Least Common Multiple of 5960 and 5965

Properties of GCF 5960 and 5965

(i) The GCF of 5960 and 5965 is associative

GCF of 5960 and 5965 = GCF of 5965 and 5960

Related Greatest Common Factor of 5960

Related Greatest Common Factor of 5965

Frequently Asked Questions on GCF of 5960 and 5965

1. What is the GCF of 5960 and 5965?

Answer: GCF of 5960 and 5965 is 5.

2. What are the Factors of 5960?

Answer: Factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960. There are 16 integers that are factors of 5960. The greatest factor of 5960 is 5960.

3. What are the Factors of 5965?

Answer: Factors of 5965 are 1, 5, 1193, 5965. There are 4 integers that are factors of 5965. The greatest factor of 5965 is 5965.

4. How to Find the GCF of 5960 and 5965?

Answer:

Greatest Common Factor of 5960 and 5965 = 5

Step 1: Find the prime factorization of 5960

5960 = 2 x 2 x 2 x 5 x 149

Step 2: Find the prime factorization of 5965

5965 = 5 x 1193

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5960 and 5965 is 5