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 9932, 9937 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9932 and 9937 is 1.
GCF(9932,9937) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9932
2 | 9932 |
2 | 4966 |
13 | 2483 |
191 | 191 |
1 |
Prime factors of 9932 are 2,13,191. Prime factorization of 9932 in exponential form is:
9932 = 22×131×1911
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 9932 and 9937 is 1
Factors of 9932
List of positive integer factors of 9932 that divides 9932 without a remainder.
1,2,4,13,26,52,191,382,764,2483,4966,9932
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 9932 and 9937. The biggest common factor number is the GCF number.
So the greatest common factor 9932 and 9937 is 1.
Also check out the Least Common Multiple of 9932 and 9937
(i) The GCF of 9932 and 9937 is associative
GCF of 9932 and 9937 = GCF of 9937 and 9932
1. What is the GCF of 9932 and 9937?
Answer: GCF of 9932 and 9937 is 1.
2. What are the Factors of 9932?
Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.
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 9932 and 9937?
Answer:
Greatest Common Factor of 9932 and 9937 = 1
Step 1: Find the prime factorization of 9932
9932 = 2 x 2 x 13 x 191
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 9932 and 9937 is 1