Greatest Common Factor of 5962 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 5962, 5968 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5962 and 5968 is 2.

GCF(5962,5968) = 2

GCF of 5962 and 5968

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

GCF of:
and

Greatest Common Factor of 5962 and 5968

GCF of 5962 and 5968 is 2

Prime Factorization of 5962


2 5962
11 2981
271 271
1

Prime factors of 5962 are 2,11,271. Prime factorization of 5962 in exponential form is:

5962 = 21×111×2711

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 5962 and 5968 is 2

Greatest Common Factor of 5962 and 5968 by matching factors method

Factors of 5962

List of positive integer factors of 5962 that divides 5962 without a remainder.

1,2,11,22,271,542,2981,5962

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 5962 and 5968. The biggest common factor number is the GCF number.
So the greatest common factor 5962 and 5968 is 2.

Also check out the Least Common Multiple of 5962 and 5968

Properties of GCF 5962 and 5968

(i) The GCF of 5962 and 5968 is associative

GCF of 5962 and 5968 = GCF of 5968 and 5962

Related Greatest Common Factor of 5962

Related Greatest Common Factor of 5968

Frequently Asked Questions on GCF of 5962 and 5968

1. What is the GCF of 5962 and 5968?

Answer: GCF of 5962 and 5968 is 2.

2. What are the Factors of 5962?

Answer: Factors of 5962 are 1, 2, 11, 22, 271, 542, 2981, 5962. There are 8 integers that are factors of 5962. The greatest factor of 5962 is 5962.

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 5962 and 5968?

Answer:

Greatest Common Factor of 5962 and 5968 = 2

Step 1: Find the prime factorization of 5962

5962 = 2 x 11 x 271

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 = 2

Step 4: Therefore, the greatest common factor of 5962 and 5968 is 2