Greatest Common Factor of 5952 and 5958

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 5952, 5958 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5952 and 5958 is 6.

GCF(5952,5958) = 6

GCF of 5952 and 5958

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

GCF of:
and

Greatest Common Factor of 5952 and 5958

GCF of 5952 and 5958 is 6

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

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

∴ So by taking common prime factors GCF of 5952 and 5958 is 6

Greatest Common Factor of 5952 and 5958 by matching factors method

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

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

Greatest Common Factor

We found the factors and prime factorization of 5952 and 5958. The biggest common factor number is the GCF number.
So the greatest common factor 5952 and 5958 is 6.

Also check out the Least Common Multiple of 5952 and 5958

Properties of GCF 5952 and 5958

(i) The GCF of 5952 and 5958 is associative

GCF of 5952 and 5958 = GCF of 5958 and 5952

Related Greatest Common Factor of 5952

Related Greatest Common Factor of 5958

Frequently Asked Questions on GCF of 5952 and 5958

1. What is the GCF of 5952 and 5958?

Answer: GCF of 5952 and 5958 is 6.

2. 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.

3. 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.

4. How to Find the GCF of 5952 and 5958?

Answer:

Greatest Common Factor of 5952 and 5958 = 6

Step 1: Find the prime factorization of 5952

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

Step 2: Find the prime factorization of 5958

5958 = 2 x 3 x 3 x 331

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 5952 and 5958 is 6