Greatest Common Factor of 4922 and 4928

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 4922, 4928 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4922 and 4928 is 2.

GCF(4922,4928) = 2

GCF of 4922 and 4928

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

GCF of:
and

Greatest Common Factor of 4922 and 4928

GCF of 4922 and 4928 is 2

Prime Factorization of 4922


2 4922
23 2461
107 107
1

Prime factors of 4922 are 2,23,107. Prime factorization of 4922 in exponential form is:

4922 = 21×231×1071

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

∴ So by taking common prime factors GCF of 4922 and 4928 is 2

Greatest Common Factor of 4922 and 4928 by matching factors method

Factors of 4922

List of positive integer factors of 4922 that divides 4922 without a remainder.

1,2,23,46,107,214,2461,4922

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

Greatest Common Factor

We found the factors and prime factorization of 4922 and 4928. The biggest common factor number is the GCF number.
So the greatest common factor 4922 and 4928 is 2.

Also check out the Least Common Multiple of 4922 and 4928

Properties of GCF 4922 and 4928

(i) The GCF of 4922 and 4928 is associative

GCF of 4922 and 4928 = GCF of 4928 and 4922

Related Greatest Common Factor of 4922

Related Greatest Common Factor of 4928

Frequently Asked Questions on GCF of 4922 and 4928

1. What is the GCF of 4922 and 4928?

Answer: GCF of 4922 and 4928 is 2.

2. What are the Factors of 4922?

Answer: Factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922. There are 8 integers that are factors of 4922. The greatest factor of 4922 is 4922.

3. 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.

4. How to Find the GCF of 4922 and 4928?

Answer:

Greatest Common Factor of 4922 and 4928 = 2

Step 1: Find the prime factorization of 4922

4922 = 2 x 23 x 107

Step 2: Find the prime factorization of 4928

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4922 and 4928 is 2