Greatest Common Factor of 9937 and 9944

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 9937, 9944 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9937 and 9944 is 1.

GCF(9937,9944) = 1

GCF of 9937 and 9944

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

GCF of:
and

Greatest Common Factor of 9937 and 9944

GCF of 9937 and 9944 is 1

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

Prime Factorization of 9944


2 9944
2 4972
2 2486
11 1243
113 113
1

Prime factors of 9944 are 2,11,113. Prime factorization of 9944 in exponential form is:

9944 = 23×111×1131

∴ So by taking common prime factors GCF of 9937 and 9944 is 1

Greatest Common Factor of 9937 and 9944 by matching factors method

Factors of 9937

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

1,19,523,9937

Factors of 9944

List of positive integer factors of 9944 that divides 9944 without a remainder.

1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944

Greatest Common Factor

We found the factors and prime factorization of 9937 and 9944. The biggest common factor number is the GCF number.
So the greatest common factor 9937 and 9944 is 1.

Also check out the Least Common Multiple of 9937 and 9944

Properties of GCF 9937 and 9944

(i) The GCF of 9937 and 9944 is associative

GCF of 9937 and 9944 = GCF of 9944 and 9937

Related Greatest Common Factor of 9937

Related Greatest Common Factor of 9944

Frequently Asked Questions on GCF of 9937 and 9944

1. What is the GCF of 9937 and 9944?

Answer: GCF of 9937 and 9944 is 1.

2. 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.

3. What are the Factors of 9944?

Answer: Factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944. There are 16 integers that are factors of 9944. The greatest factor of 9944 is 9944.

4. How to Find the GCF of 9937 and 9944?

Answer:

Greatest Common Factor of 9937 and 9944 = 1

Step 1: Find the prime factorization of 9937

9937 = 19 x 523

Step 2: Find the prime factorization of 9944

9944 = 2 x 2 x 2 x 11 x 113

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 9937 and 9944 is 1