Greatest Common Factor of 4928 and 4932

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, 4932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4928 and 4932 is 4.

GCF(4928,4932) = 4

GCF of 4928 and 4932

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

GCF of:
and

Greatest Common Factor of 4928 and 4932

GCF of 4928 and 4932 is 4

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 4932


2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 4932 are 2,3,137. Prime factorization of 4932 in exponential form is:

4932 = 22×32×1371

∴ So by taking common prime factors GCF of 4928 and 4932 is 4

Greatest Common Factor of 4928 and 4932 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 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Greatest Common Factor

We found the factors and prime factorization of 4928 and 4932. The biggest common factor number is the GCF number.
So the greatest common factor 4928 and 4932 is 4.

Also check out the Least Common Multiple of 4928 and 4932

Properties of GCF 4928 and 4932

(i) The GCF of 4928 and 4932 is associative

GCF of 4928 and 4932 = GCF of 4932 and 4928

Related Greatest Common Factor of 4928

Related Greatest Common Factor of 4932

Frequently Asked Questions on GCF of 4928 and 4932

1. What is the GCF of 4928 and 4932?

Answer: GCF of 4928 and 4932 is 4.

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 4932?

Answer: Factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. There are 18 integers that are factors of 4932. The greatest factor of 4932 is 4932.

4. How to Find the GCF of 4928 and 4932?

Answer:

Greatest Common Factor of 4928 and 4932 = 4

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 4932

4932 = 2 x 2 x 3 x 3 x 137

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 4928 and 4932 is 4