Greatest Common Factor of 5968 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 5968, 5975 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5968 and 5975 is 1.

GCF(5968,5975) = 1

GCF of 5968 and 5975

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

GCF of:
and

Greatest Common Factor of 5968 and 5975

GCF of 5968 and 5975 is 1

Prime Factorization of 5968


2 5968
2 2984
2 1492
2 746
373 373
1

Prime factors of 5968 are 2,373. Prime factorization of 5968 in exponential form is:

5968 = 24×3731

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 5968 and 5975 is 1

Greatest Common Factor of 5968 and 5975 by matching factors method

Factors of 5968

List of positive integer factors of 5968 that divides 5968 without a remainder.

1,2,4,8,16,373,746,1492,2984,5968

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 5968 and 5975. The biggest common factor number is the GCF number.
So the greatest common factor 5968 and 5975 is 1.

Also check out the Least Common Multiple of 5968 and 5975

Properties of GCF 5968 and 5975

(i) The GCF of 5968 and 5975 is associative

GCF of 5968 and 5975 = GCF of 5975 and 5968

Related Greatest Common Factor of 5968

Related Greatest Common Factor of 5975

Frequently Asked Questions on GCF of 5968 and 5975

1. What is the GCF of 5968 and 5975?

Answer: GCF of 5968 and 5975 is 1.

2. What are the Factors of 5968?

Answer: Factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968. There are 10 integers that are factors of 5968. The greatest factor of 5968 is 5968.

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 5968 and 5975?

Answer:

Greatest Common Factor of 5968 and 5975 = 1

Step 1: Find the prime factorization of 5968

5968 = 2 x 2 x 2 x 2 x 373

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 = = 1

Step 4: Therefore, the greatest common factor of 5968 and 5975 is 1