Greatest Common Factor of 47768 and 47775

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 47768, 47775 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47768 and 47775 is 7.

GCF(47768,47775) = 7

GCF of 47768 and 47775

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

GCF of:
and

Greatest Common Factor of 47768 and 47775

GCF of 47768 and 47775 is 7

Prime Factorization of 47768


2 47768
2 23884
2 11942
7 5971
853 853
1

Prime factors of 47768 are 2,7,853. Prime factorization of 47768 in exponential form is:

47768 = 23×71×8531

Prime Factorization of 47775


3 47775
5 15925
5 3185
7 637
7 91
13 13
1

Prime factors of 47775 are 3,5,7,13. Prime factorization of 47775 in exponential form is:

47775 = 31×52×72×131

∴ So by taking common prime factors GCF of 47768 and 47775 is 7

Greatest Common Factor of 47768 and 47775 by matching factors method

Factors of 47768

List of positive integer factors of 47768 that divides 47768 without a remainder.

1,2,4,7,8,14,28,56,853,1706,3412,5971,6824,11942,23884,47768

Factors of 47775

List of positive integer factors of 47775 that divides 47775 without a remainder.

1,3,5,7,13,15,21,25,35,39,49,65,75,91,105,147,175,195,245,273,325,455,525,637,735,975,1225,1365,1911,2275,3185,3675,6825,9555,15925,47775

Greatest Common Factor

We found the factors and prime factorization of 47768 and 47775. The biggest common factor number is the GCF number.
So the greatest common factor 47768 and 47775 is 7.

Also check out the Least Common Multiple of 47768 and 47775

Properties of GCF 47768 and 47775

(i) The GCF of 47768 and 47775 is associative

GCF of 47768 and 47775 = GCF of 47775 and 47768

Related Greatest Common Factor of 47768

Related Greatest Common Factor of 47775

Frequently Asked Questions on GCF of 47768 and 47775

1. What is the GCF of 47768 and 47775?

Answer: GCF of 47768 and 47775 is 7.

2. What are the Factors of 47768?

Answer: Factors of 47768 are 1, 2, 4, 7, 8, 14, 28, 56, 853, 1706, 3412, 5971, 6824, 11942, 23884, 47768. There are 16 integers that are factors of 47768. The greatest factor of 47768 is 47768.

3. What are the Factors of 47775?

Answer: Factors of 47775 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 49, 65, 75, 91, 105, 147, 175, 195, 245, 273, 325, 455, 525, 637, 735, 975, 1225, 1365, 1911, 2275, 3185, 3675, 6825, 9555, 15925, 47775. There are 36 integers that are factors of 47775. The greatest factor of 47775 is 47775.

4. How to Find the GCF of 47768 and 47775?

Answer:

Greatest Common Factor of 47768 and 47775 = 7

Step 1: Find the prime factorization of 47768

47768 = 2 x 2 x 2 x 7 x 853

Step 2: Find the prime factorization of 47775

47775 = 3 x 5 x 5 x 7 x 7 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 47768 and 47775 is 7