Greatest Common Factor of 9956 and 9961

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 9956, 9961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9956 and 9961 is 1.

GCF(9956,9961) = 1

GCF of 9956 and 9961

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

GCF of:
and

Greatest Common Factor of 9956 and 9961

GCF of 9956 and 9961 is 1

Prime Factorization of 9956


2 9956
2 4978
19 2489
131 131
1

Prime factors of 9956 are 2,19,131. Prime factorization of 9956 in exponential form is:

9956 = 22×191×1311

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 9956 and 9961 is 1

Greatest Common Factor of 9956 and 9961 by matching factors method

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1,2,4,19,38,76,131,262,524,2489,4978,9956

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 9956 and 9961. The biggest common factor number is the GCF number.
So the greatest common factor 9956 and 9961 is 1.

Also check out the Least Common Multiple of 9956 and 9961

Properties of GCF 9956 and 9961

(i) The GCF of 9956 and 9961 is associative

GCF of 9956 and 9961 = GCF of 9961 and 9956

Related Greatest Common Factor of 9956

Related Greatest Common Factor of 9961

Frequently Asked Questions on GCF of 9956 and 9961

1. What is the GCF of 9956 and 9961?

Answer: GCF of 9956 and 9961 is 1.

2. What are the Factors of 9956?

Answer: Factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956. There are 12 integers that are factors of 9956. The greatest factor of 9956 is 9956.

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 9956 and 9961?

Answer:

Greatest Common Factor of 9956 and 9961 = 1

Step 1: Find the prime factorization of 9956

9956 = 2 x 2 x 19 x 131

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 9956 and 9961 is 1