Greatest Common Factor of 5946 and 5952

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 5946, 5952 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5946 and 5952 is 6.

GCF(5946,5952) = 6

GCF of 5946 and 5952

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

GCF of:
and

Greatest Common Factor of 5946 and 5952

GCF of 5946 and 5952 is 6

Prime Factorization of 5946


2 5946
3 2973
991 991
1

Prime factors of 5946 are 2,3,991. Prime factorization of 5946 in exponential form is:

5946 = 21×31×9911

Prime Factorization of 5952


2 5952
2 2976
2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 5952 are 2,3,31. Prime factorization of 5952 in exponential form is:

5952 = 26×31×311

∴ So by taking common prime factors GCF of 5946 and 5952 is 6

Greatest Common Factor of 5946 and 5952 by matching factors method

Factors of 5946

List of positive integer factors of 5946 that divides 5946 without a remainder.

1,2,3,6,991,1982,2973,5946

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952

Greatest Common Factor

We found the factors and prime factorization of 5946 and 5952. The biggest common factor number is the GCF number.
So the greatest common factor 5946 and 5952 is 6.

Also check out the Least Common Multiple of 5946 and 5952

Properties of GCF 5946 and 5952

(i) The GCF of 5946 and 5952 is associative

GCF of 5946 and 5952 = GCF of 5952 and 5946

Related Greatest Common Factor of 5946

Related Greatest Common Factor of 5952

Frequently Asked Questions on GCF of 5946 and 5952

1. What is the GCF of 5946 and 5952?

Answer: GCF of 5946 and 5952 is 6.

2. What are the Factors of 5946?

Answer: Factors of 5946 are 1, 2, 3, 6, 991, 1982, 2973, 5946. There are 8 integers that are factors of 5946. The greatest factor of 5946 is 5946.

3. What are the Factors of 5952?

Answer: Factors of 5952 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976, 5952. There are 28 integers that are factors of 5952. The greatest factor of 5952 is 5952.

4. How to Find the GCF of 5946 and 5952?

Answer:

Greatest Common Factor of 5946 and 5952 = 6

Step 1: Find the prime factorization of 5946

5946 = 2 x 3 x 991

Step 2: Find the prime factorization of 5952

5952 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5946 and 5952 is 6