Greatest Common Factor of 4928 and 4935

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 4928, 4935 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4928 and 4935 is 7.

GCF(4928,4935) = 7

GCF of 4928 and 4935

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

GCF of:
and

Greatest Common Factor of 4928 and 4935

GCF of 4928 and 4935 is 7

Prime Factorization of 4928


2 4928
2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 4928 are 2,7,11. Prime factorization of 4928 in exponential form is:

4928 = 26×71×111

Prime Factorization of 4935


3 4935
5 1645
7 329
47 47
1

Prime factors of 4935 are 3,5,7,47. Prime factorization of 4935 in exponential form is:

4935 = 31×51×71×471

∴ So by taking common prime factors GCF of 4928 and 4935 is 7

Greatest Common Factor of 4928 and 4935 by matching factors method

Factors of 4928

List of positive integer factors of 4928 that divides 4928 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Greatest Common Factor

We found the factors and prime factorization of 4928 and 4935. The biggest common factor number is the GCF number.
So the greatest common factor 4928 and 4935 is 7.

Also check out the Least Common Multiple of 4928 and 4935

Properties of GCF 4928 and 4935

(i) The GCF of 4928 and 4935 is associative

GCF of 4928 and 4935 = GCF of 4935 and 4928

Related Greatest Common Factor of 4928

Related Greatest Common Factor of 4935

Frequently Asked Questions on GCF of 4928 and 4935

1. What is the GCF of 4928 and 4935?

Answer: GCF of 4928 and 4935 is 7.

2. What are the Factors of 4928?

Answer: Factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928. There are 28 integers that are factors of 4928. The greatest factor of 4928 is 4928.

3. What are the Factors of 4935?

Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.

4. How to Find the GCF of 4928 and 4935?

Answer:

Greatest Common Factor of 4928 and 4935 = 7

Step 1: Find the prime factorization of 4928

4928 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 4935

4935 = 3 x 5 x 7 x 47

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 4928 and 4935 is 7