Greatest Common Factor of 47768 and 47772

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, 47772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47768 and 47772 is 4.

GCF(47768,47772) = 4

GCF of 47768 and 47772

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

GCF of:
and

Greatest Common Factor of 47768 and 47772

GCF of 47768 and 47772 is 4

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 47772


2 47772
2 23886
3 11943
3 3981
1327 1327
1

Prime factors of 47772 are 2,3,1327. Prime factorization of 47772 in exponential form is:

47772 = 22×32×13271

∴ So by taking common prime factors GCF of 47768 and 47772 is 4

Greatest Common Factor of 47768 and 47772 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 47772

List of positive integer factors of 47772 that divides 47772 without a remainder.

1,2,3,4,6,9,12,18,36,1327,2654,3981,5308,7962,11943,15924,23886,47772

Greatest Common Factor

We found the factors and prime factorization of 47768 and 47772. The biggest common factor number is the GCF number.
So the greatest common factor 47768 and 47772 is 4.

Also check out the Least Common Multiple of 47768 and 47772

Properties of GCF 47768 and 47772

(i) The GCF of 47768 and 47772 is associative

GCF of 47768 and 47772 = GCF of 47772 and 47768

Related Greatest Common Factor of 47768

Related Greatest Common Factor of 47772

Frequently Asked Questions on GCF of 47768 and 47772

1. What is the GCF of 47768 and 47772?

Answer: GCF of 47768 and 47772 is 4.

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 47772?

Answer: Factors of 47772 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 1327, 2654, 3981, 5308, 7962, 11943, 15924, 23886, 47772. There are 18 integers that are factors of 47772. The greatest factor of 47772 is 47772.

4. How to Find the GCF of 47768 and 47772?

Answer:

Greatest Common Factor of 47768 and 47772 = 4

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 47772

47772 = 2 x 2 x 3 x 3 x 1327

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 47768 and 47772 is 4