Greatest Common Factor of 1928 and 1936

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 1928, 1936 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1928 and 1936 is 8.

GCF(1928,1936) = 8

GCF of 1928 and 1936

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

GCF of:
and

Greatest Common Factor of 1928 and 1936

GCF of 1928 and 1936 is 8

Prime Factorization of 1928


2 1928
2 964
2 482
241 241
1

Prime factors of 1928 are 2,241. Prime factorization of 1928 in exponential form is:

1928 = 23×2411

Prime Factorization of 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

∴ So by taking common prime factors GCF of 1928 and 1936 is 8

Greatest Common Factor of 1928 and 1936 by matching factors method

Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1,2,4,8,241,482,964,1928

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936

Greatest Common Factor

We found the factors and prime factorization of 1928 and 1936. The biggest common factor number is the GCF number.
So the greatest common factor 1928 and 1936 is 8.

Also check out the Least Common Multiple of 1928 and 1936

Properties of GCF 1928 and 1936

(i) The GCF of 1928 and 1936 is associative

GCF of 1928 and 1936 = GCF of 1936 and 1928

Related Greatest Common Factor of 1928

Related Greatest Common Factor of 1936

Frequently Asked Questions on GCF of 1928 and 1936

1. What is the GCF of 1928 and 1936?

Answer: GCF of 1928 and 1936 is 8.

2. What are the Factors of 1928?

Answer: Factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928. There are 8 integers that are factors of 1928. The greatest factor of 1928 is 1928.

3. What are the Factors of 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

4. How to Find the GCF of 1928 and 1936?

Answer:

Greatest Common Factor of 1928 and 1936 = 8

Step 1: Find the prime factorization of 1928

1928 = 2 x 2 x 2 x 241

Step 2: Find the prime factorization of 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1928 and 1936 is 8