Greatest Common Factor of 9961 and 9968

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 9961, 9968 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9961 and 9968 is 7.

GCF(9961,9968) = 7

GCF of 9961 and 9968

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

GCF of:
and

Greatest Common Factor of 9961 and 9968

GCF of 9961 and 9968 is 7

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

Prime Factorization of 9968


2 9968
2 4984
2 2492
2 1246
7 623
89 89
1

Prime factors of 9968 are 2,7,89. Prime factorization of 9968 in exponential form is:

9968 = 24×71×891

∴ So by taking common prime factors GCF of 9961 and 9968 is 7

Greatest Common Factor of 9961 and 9968 by matching factors method

Factors of 9961

List of positive integer factors of 9961 that divides 9961 without a remainder.

1,7,1423,9961

Factors of 9968

List of positive integer factors of 9968 that divides 9968 without a remainder.

1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968

Greatest Common Factor

We found the factors and prime factorization of 9961 and 9968. The biggest common factor number is the GCF number.
So the greatest common factor 9961 and 9968 is 7.

Also check out the Least Common Multiple of 9961 and 9968

Properties of GCF 9961 and 9968

(i) The GCF of 9961 and 9968 is associative

GCF of 9961 and 9968 = GCF of 9968 and 9961

Related Greatest Common Factor of 9961

Related Greatest Common Factor of 9968

Frequently Asked Questions on GCF of 9961 and 9968

1. What is the GCF of 9961 and 9968?

Answer: GCF of 9961 and 9968 is 7.

2. 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.

3. What are the Factors of 9968?

Answer: Factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968. There are 20 integers that are factors of 9968. The greatest factor of 9968 is 9968.

4. How to Find the GCF of 9961 and 9968?

Answer:

Greatest Common Factor of 9961 and 9968 = 7

Step 1: Find the prime factorization of 9961

9961 = 7 x 1423

Step 2: Find the prime factorization of 9968

9968 = 2 x 2 x 2 x 2 x 7 x 89

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9961 and 9968 is 7