Greatest Common Factor of 9936 and 9937

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 9936, 9937 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9936 and 9937 is 1.

GCF(9936,9937) = 1

GCF of 9936 and 9937

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

GCF of:
and

Greatest Common Factor of 9936 and 9937

GCF of 9936 and 9937 is 1

Prime Factorization of 9936


2 9936
2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 9936 are 2,3,23. Prime factorization of 9936 in exponential form is:

9936 = 24×33×231

Prime Factorization of 9937


19 9937
523 523
1

Prime factors of 9937 are 19,523. Prime factorization of 9937 in exponential form is:

9937 = 191×5231

∴ So by taking common prime factors GCF of 9936 and 9937 is 1

Greatest Common Factor of 9936 and 9937 by matching factors method

Factors of 9936

List of positive integer factors of 9936 that divides 9936 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936

Factors of 9937

List of positive integer factors of 9937 that divides 9937 without a remainder.

1,19,523,9937

Greatest Common Factor

We found the factors and prime factorization of 9936 and 9937. The biggest common factor number is the GCF number.
So the greatest common factor 9936 and 9937 is 1.

Also check out the Least Common Multiple of 9936 and 9937

Properties of GCF 9936 and 9937

(i) The GCF of 9936 and 9937 is associative

GCF of 9936 and 9937 = GCF of 9937 and 9936

Related Greatest Common Factor of 9936

Related Greatest Common Factor of 9937

Frequently Asked Questions on GCF of 9936 and 9937

1. What is the GCF of 9936 and 9937?

Answer: GCF of 9936 and 9937 is 1.

2. What are the Factors of 9936?

Answer: Factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936. There are 40 integers that are factors of 9936. The greatest factor of 9936 is 9936.

3. What are the Factors of 9937?

Answer: Factors of 9937 are 1, 19, 523, 9937. There are 4 integers that are factors of 9937. The greatest factor of 9937 is 9937.

4. How to Find the GCF of 9936 and 9937?

Answer:

Greatest Common Factor of 9936 and 9937 = 1

Step 1: Find the prime factorization of 9936

9936 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 9937

9937 = 19 x 523

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9936 and 9937 is 1