Greatest Common Factor of 5963 and 5968

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 5963, 5968 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5963 and 5968 is 1.

GCF(5963,5968) = 1

GCF of 5963 and 5968

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

GCF of:
and

Greatest Common Factor of 5963 and 5968

GCF of 5963 and 5968 is 1

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

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

∴ So by taking common prime factors GCF of 5963 and 5968 is 1

Greatest Common Factor of 5963 and 5968 by matching factors method

Factors of 5963

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

1,67,89,5963

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

Greatest Common Factor

We found the factors and prime factorization of 5963 and 5968. The biggest common factor number is the GCF number.
So the greatest common factor 5963 and 5968 is 1.

Also check out the Least Common Multiple of 5963 and 5968

Properties of GCF 5963 and 5968

(i) The GCF of 5963 and 5968 is associative

GCF of 5963 and 5968 = GCF of 5968 and 5963

Related Greatest Common Factor of 5963

Related Greatest Common Factor of 5968

Frequently Asked Questions on GCF of 5963 and 5968

1. What is the GCF of 5963 and 5968?

Answer: GCF of 5963 and 5968 is 1.

2. 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.

3. 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.

4. How to Find the GCF of 5963 and 5968?

Answer:

Greatest Common Factor of 5963 and 5968 = 1

Step 1: Find the prime factorization of 5963

5963 = 67 x 89

Step 2: Find the prime factorization of 5968

5968 = 2 x 2 x 2 x 2 x 373

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 5963 and 5968 is 1