Greatest Common Factor of 7936 and 7938

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 7936, 7938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7936 and 7938 is 2.

GCF(7936,7938) = 2

GCF of 7936 and 7938

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

GCF of:
and

Greatest Common Factor of 7936 and 7938

GCF of 7936 and 7938 is 2

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

Prime Factorization of 7938


2 7938
3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 7938 are 2,3,7. Prime factorization of 7938 in exponential form is:

7938 = 21×34×72

∴ So by taking common prime factors GCF of 7936 and 7938 is 2

Greatest Common Factor of 7936 and 7938 by matching factors method

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

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938

Greatest Common Factor

We found the factors and prime factorization of 7936 and 7938. The biggest common factor number is the GCF number.
So the greatest common factor 7936 and 7938 is 2.

Also check out the Least Common Multiple of 7936 and 7938

Properties of GCF 7936 and 7938

(i) The GCF of 7936 and 7938 is associative

GCF of 7936 and 7938 = GCF of 7938 and 7936

Frequently Asked Questions on GCF of 7936 and 7938

1. What is the GCF of 7936 and 7938?

Answer: GCF of 7936 and 7938 is 2.

2. 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.

3. What are the Factors of 7938?

Answer: Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938. There are 30 integers that are factors of 7938. The greatest factor of 7938 is 7938.

4. How to Find the GCF of 7936 and 7938?

Answer:

Greatest Common Factor of 7936 and 7938 = 2

Step 1: 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 2: Find the prime factorization of 7938

7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7

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 7936 and 7938 is 2