Greatest Common Factor of 58782 and 58788

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 58782, 58788 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 58782 and 58788 is 6.

GCF(58782,58788) = 6

GCF of 58782 and 58788

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

GCF of:
and

Greatest Common Factor of 58782 and 58788

GCF of 58782 and 58788 is 6

Prime Factorization of 58782


2 58782
3 29391
97 9797
101 101
1

Prime factors of 58782 are 2,3,97,101. Prime factorization of 58782 in exponential form is:

58782 = 21×31×971×1011

Prime Factorization of 58788


2 58788
2 29394
3 14697
3 4899
23 1633
71 71
1

Prime factors of 58788 are 2,3,23,71. Prime factorization of 58788 in exponential form is:

58788 = 22×32×231×711

∴ So by taking common prime factors GCF of 58782 and 58788 is 6

Greatest Common Factor of 58782 and 58788 by matching factors method

Factors of 58782

List of positive integer factors of 58782 that divides 58782 without a remainder.

1,2,3,6,97,101,194,202,291,303,582,606,9797,19594,29391,58782

Factors of 58788

List of positive integer factors of 58788 that divides 58788 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,71,92,138,142,207,213,276,284,414,426,639,828,852,1278,1633,2556,3266,4899,6532,9798,14697,19596,29394,58788

Greatest Common Factor

We found the factors and prime factorization of 58782 and 58788. The biggest common factor number is the GCF number.
So the greatest common factor 58782 and 58788 is 6.

Also check out the Least Common Multiple of 58782 and 58788

Properties of GCF 58782 and 58788

(i) The GCF of 58782 and 58788 is associative

GCF of 58782 and 58788 = GCF of 58788 and 58782

Related Greatest Common Factor of 58782

Related Greatest Common Factor of 58788

Frequently Asked Questions on GCF of 58782 and 58788

1. What is the GCF of 58782 and 58788?

Answer: GCF of 58782 and 58788 is 6.

2. What are the Factors of 58782?

Answer: Factors of 58782 are 1, 2, 3, 6, 97, 101, 194, 202, 291, 303, 582, 606, 9797, 19594, 29391, 58782. There are 16 integers that are factors of 58782. The greatest factor of 58782 is 58782.

3. What are the Factors of 58788?

Answer: Factors of 58788 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 71, 92, 138, 142, 207, 213, 276, 284, 414, 426, 639, 828, 852, 1278, 1633, 2556, 3266, 4899, 6532, 9798, 14697, 19596, 29394, 58788. There are 36 integers that are factors of 58788. The greatest factor of 58788 is 58788.

4. How to Find the GCF of 58782 and 58788?

Answer:

Greatest Common Factor of 58782 and 58788 = 6

Step 1: Find the prime factorization of 58782

58782 = 2 x 3 x 97 x 101

Step 2: Find the prime factorization of 58788

58788 = 2 x 2 x 3 x 3 x 23 x 71

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 58782 and 58788 is 6