Greatest Common Factor of 5958 and 5963

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 5958, 5963 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5958 and 5963 is 1.

GCF(5958,5963) = 1

GCF of 5958 and 5963

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

GCF of:
and

Greatest Common Factor of 5958 and 5963

GCF of 5958 and 5963 is 1

Prime Factorization of 5958


2 5958
3 2979
3 993
331 331
1

Prime factors of 5958 are 2,3,331. Prime factorization of 5958 in exponential form is:

5958 = 21×32×3311

Prime Factorization of 5963


67 5963
89 89
1

Prime factors of 5963 are 67,89. Prime factorization of 5963 in exponential form is:

5963 = 671×891

∴ So by taking common prime factors GCF of 5958 and 5963 is 1

Greatest Common Factor of 5958 and 5963 by matching factors method

Factors of 5958

List of positive integer factors of 5958 that divides 5958 without a remainder.

1,2,3,6,9,18,331,662,993,1986,2979,5958

Factors of 5963

List of positive integer factors of 5963 that divides 5963 without a remainder.

1,67,89,5963

Greatest Common Factor

We found the factors and prime factorization of 5958 and 5963. The biggest common factor number is the GCF number.
So the greatest common factor 5958 and 5963 is 1.

Also check out the Least Common Multiple of 5958 and 5963

Properties of GCF 5958 and 5963

(i) The GCF of 5958 and 5963 is associative

GCF of 5958 and 5963 = GCF of 5963 and 5958

Related Greatest Common Factor of 5958

Related Greatest Common Factor of 5963

Frequently Asked Questions on GCF of 5958 and 5963

1. What is the GCF of 5958 and 5963?

Answer: GCF of 5958 and 5963 is 1.

2. What are the Factors of 5958?

Answer: Factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958. There are 12 integers that are factors of 5958. The greatest factor of 5958 is 5958.

3. What are the Factors of 5963?

Answer: Factors of 5963 are 1, 67, 89, 5963. There are 4 integers that are factors of 5963. The greatest factor of 5963 is 5963.

4. How to Find the GCF of 5958 and 5963?

Answer:

Greatest Common Factor of 5958 and 5963 = 1

Step 1: Find the prime factorization of 5958

5958 = 2 x 3 x 3 x 331

Step 2: Find the prime factorization of 5963

5963 = 67 x 89

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 5958 and 5963 is 1