Greatest Common Factor of 7936 and 7942

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, 7942 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7936 and 7942 is 2.

GCF(7936,7942) = 2

GCF of 7936 and 7942

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

GCF of:
and

Greatest Common Factor of 7936 and 7942

GCF of 7936 and 7942 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 7942


2 7942
11 3971
19 361
19 19
1

Prime factors of 7942 are 2,11,19. Prime factorization of 7942 in exponential form is:

7942 = 21×111×192

∴ So by taking common prime factors GCF of 7936 and 7942 is 2

Greatest Common Factor of 7936 and 7942 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 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1,2,11,19,22,38,209,361,418,722,3971,7942

Greatest Common Factor

We found the factors and prime factorization of 7936 and 7942. The biggest common factor number is the GCF number.
So the greatest common factor 7936 and 7942 is 2.

Also check out the Least Common Multiple of 7936 and 7942

Properties of GCF 7936 and 7942

(i) The GCF of 7936 and 7942 is associative

GCF of 7936 and 7942 = GCF of 7942 and 7936

Related Greatest Common Factor of 7936

Related Greatest Common Factor of 7942

Frequently Asked Questions on GCF of 7936 and 7942

1. What is the GCF of 7936 and 7942?

Answer: GCF of 7936 and 7942 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 7942?

Answer: Factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942. There are 12 integers that are factors of 7942. The greatest factor of 7942 is 7942.

4. How to Find the GCF of 7936 and 7942?

Answer:

Greatest Common Factor of 7936 and 7942 = 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 7942

7942 = 2 x 11 x 19 x 19

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 7942 is 2