Greatest Common Factor of 4788 and 4795

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 4788, 4795 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4788 and 4795 is 7.

GCF(4788,4795) = 7

GCF of 4788 and 4795

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

GCF of:
and

Greatest Common Factor of 4788 and 4795

GCF of 4788 and 4795 is 7

Prime Factorization of 4788


2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 4788 are 2,3,7,19. Prime factorization of 4788 in exponential form is:

4788 = 22×32×71×191

Prime Factorization of 4795


5 4795
7 959
137 137
1

Prime factors of 4795 are 5,7,137. Prime factorization of 4795 in exponential form is:

4795 = 51×71×1371

∴ So by taking common prime factors GCF of 4788 and 4795 is 7

Greatest Common Factor of 4788 and 4795 by matching factors method

Factors of 4788

List of positive integer factors of 4788 that divides 4788 without a remainder.

1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788

Factors of 4795

List of positive integer factors of 4795 that divides 4795 without a remainder.

1,5,7,35,137,685,959,4795

Greatest Common Factor

We found the factors and prime factorization of 4788 and 4795. The biggest common factor number is the GCF number.
So the greatest common factor 4788 and 4795 is 7.

Also check out the Least Common Multiple of 4788 and 4795

Properties of GCF 4788 and 4795

(i) The GCF of 4788 and 4795 is associative

GCF of 4788 and 4795 = GCF of 4795 and 4788

Related Greatest Common Factor of 4788

Related Greatest Common Factor of 4795

Frequently Asked Questions on GCF of 4788 and 4795

1. What is the GCF of 4788 and 4795?

Answer: GCF of 4788 and 4795 is 7.

2. What are the Factors of 4788?

Answer: Factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788. There are 36 integers that are factors of 4788. The greatest factor of 4788 is 4788.

3. What are the Factors of 4795?

Answer: Factors of 4795 are 1, 5, 7, 35, 137, 685, 959, 4795. There are 8 integers that are factors of 4795. The greatest factor of 4795 is 4795.

4. How to Find the GCF of 4788 and 4795?

Answer:

Greatest Common Factor of 4788 and 4795 = 7

Step 1: Find the prime factorization of 4788

4788 = 2 x 2 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 4795

4795 = 5 x 7 x 137

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 4788 and 4795 is 7