Greatest Common Factor of 7928 and 7936

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 7928, 7936 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7928 and 7936 is 8.

GCF(7928,7936) = 8

GCF of 7928 and 7936

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

GCF of:
and

Greatest Common Factor of 7928 and 7936

GCF of 7928 and 7936 is 8

Prime Factorization of 7928


2 7928
2 3964
2 1982
991 991
1

Prime factors of 7928 are 2,991. Prime factorization of 7928 in exponential form is:

7928 = 23×9911

Prime Factorization of 7936


2 7936
2 3968
2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 7936 are 2,31. Prime factorization of 7936 in exponential form is:

7936 = 28×311

∴ So by taking common prime factors GCF of 7928 and 7936 is 8

Greatest Common Factor of 7928 and 7936 by matching factors method

Factors of 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1,2,4,8,991,1982,3964,7928

Factors of 7936

List of positive integer factors of 7936 that divides 7936 without a remainder.

1,2,4,8,16,31,32,62,64,124,128,248,256,496,992,1984,3968,7936

Greatest Common Factor

We found the factors and prime factorization of 7928 and 7936. The biggest common factor number is the GCF number.
So the greatest common factor 7928 and 7936 is 8.

Also check out the Least Common Multiple of 7928 and 7936

Properties of GCF 7928 and 7936

(i) The GCF of 7928 and 7936 is associative

GCF of 7928 and 7936 = GCF of 7936 and 7928

Related Greatest Common Factor of 7928

Related Greatest Common Factor of 7936

Frequently Asked Questions on GCF of 7928 and 7936

1. What is the GCF of 7928 and 7936?

Answer: GCF of 7928 and 7936 is 8.

2. What are the Factors of 7928?

Answer: Factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928. There are 8 integers that are factors of 7928. The greatest factor of 7928 is 7928.

3. What are the Factors of 7936?

Answer: Factors of 7936 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936. There are 18 integers that are factors of 7936. The greatest factor of 7936 is 7936.

4. How to Find the GCF of 7928 and 7936?

Answer:

Greatest Common Factor of 7928 and 7936 = 8

Step 1: Find the prime factorization of 7928

7928 = 2 x 2 x 2 x 991

Step 2: Find the prime factorization of 7936

7936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

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 7928 and 7936 is 8