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 9953, 9961 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9953 and 9961 is 1.
GCF(9953,9961) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9953
37 | 9953 |
269 | 269 |
1 |
Prime factors of 9953 are 37,269. Prime factorization of 9953 in exponential form is:
9953 = 371×2691
Prime Factorization of 9961
7 | 9961 |
1423 | 1423 |
1 |
Prime factors of 9961 are 7,1423. Prime factorization of 9961 in exponential form is:
9961 = 71×14231
∴ So by taking common prime factors GCF of 9953 and 9961 is 1
Factors of 9953
List of positive integer factors of 9953 that divides 9953 without a remainder.
1,37,269,9953
Factors of 9961
List of positive integer factors of 9961 that divides 9961 without a remainder.
1,7,1423,9961
Greatest Common Factor
We found the factors and prime factorization of 9953 and 9961. The biggest common factor number is the GCF number.
So the greatest common factor 9953 and 9961 is 1.
Also check out the Least Common Multiple of 9953 and 9961
(i) The GCF of 9953 and 9961 is associative
GCF of 9953 and 9961 = GCF of 9961 and 9953
1. What is the GCF of 9953 and 9961?
Answer: GCF of 9953 and 9961 is 1.
2. What are the Factors of 9953?
Answer: Factors of 9953 are 1, 37, 269, 9953. There are 4 integers that are factors of 9953. The greatest factor of 9953 is 9953.
3. What are the Factors of 9961?
Answer: Factors of 9961 are 1, 7, 1423, 9961. There are 4 integers that are factors of 9961. The greatest factor of 9961 is 9961.
4. How to Find the GCF of 9953 and 9961?
Answer:
Greatest Common Factor of 9953 and 9961 = 1
Step 1: Find the prime factorization of 9953
9953 = 37 x 269
Step 2: Find the prime factorization of 9961
9961 = 7 x 1423
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 9953 and 9961 is 1