Greatest Common Factor of 5970 and 5975

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 5970, 5975 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5970 and 5975 is 5.

GCF(5970,5975) = 5

GCF of 5970 and 5975

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

GCF of:
and

Greatest Common Factor of 5970 and 5975

GCF of 5970 and 5975 is 5

Prime Factorization of 5970


2 5970
3 2985
5 995
199 199
1

Prime factors of 5970 are 2,3,5,199. Prime factorization of 5970 in exponential form is:

5970 = 21×31×51×1991

Prime Factorization of 5975


5 5975
5 1195
239 239
1

Prime factors of 5975 are 5,239. Prime factorization of 5975 in exponential form is:

5975 = 52×2391

∴ So by taking common prime factors GCF of 5970 and 5975 is 5

Greatest Common Factor of 5970 and 5975 by matching factors method

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Factors of 5975

List of positive integer factors of 5975 that divides 5975 without a remainder.

1,5,25,239,1195,5975

Greatest Common Factor

We found the factors and prime factorization of 5970 and 5975. The biggest common factor number is the GCF number.
So the greatest common factor 5970 and 5975 is 5.

Also check out the Least Common Multiple of 5970 and 5975

Properties of GCF 5970 and 5975

(i) The GCF of 5970 and 5975 is associative

GCF of 5970 and 5975 = GCF of 5975 and 5970

Related Greatest Common Factor of 5970

Related Greatest Common Factor of 5975

Frequently Asked Questions on GCF of 5970 and 5975

1. What is the GCF of 5970 and 5975?

Answer: GCF of 5970 and 5975 is 5.

2. What are the Factors of 5970?

Answer: Factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970. There are 16 integers that are factors of 5970. The greatest factor of 5970 is 5970.

3. What are the Factors of 5975?

Answer: Factors of 5975 are 1, 5, 25, 239, 1195, 5975. There are 6 integers that are factors of 5975. The greatest factor of 5975 is 5975.

4. How to Find the GCF of 5970 and 5975?

Answer:

Greatest Common Factor of 5970 and 5975 = 5

Step 1: Find the prime factorization of 5970

5970 = 2 x 3 x 5 x 199

Step 2: Find the prime factorization of 5975

5975 = 5 x 5 x 239

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 5970 and 5975 is 5