Greatest Common Factor of 9968 and 9974

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 9968, 9974 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9968 and 9974 is 2.

GCF(9968,9974) = 2

GCF of 9968 and 9974

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

GCF of:
and

Greatest Common Factor of 9968 and 9974

GCF of 9968 and 9974 is 2

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

Prime Factorization of 9974


2 9974
4987 4987
1

Prime factors of 9974 are 2,4987. Prime factorization of 9974 in exponential form is:

9974 = 21×49871

∴ So by taking common prime factors GCF of 9968 and 9974 is 2

Greatest Common Factor of 9968 and 9974 by matching factors method

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

Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1,2,4987,9974

Greatest Common Factor

We found the factors and prime factorization of 9968 and 9974. The biggest common factor number is the GCF number.
So the greatest common factor 9968 and 9974 is 2.

Also check out the Least Common Multiple of 9968 and 9974

Properties of GCF 9968 and 9974

(i) The GCF of 9968 and 9974 is associative

GCF of 9968 and 9974 = GCF of 9974 and 9968

Related Greatest Common Factor of 9968

Related Greatest Common Factor of 9974

Frequently Asked Questions on GCF of 9968 and 9974

1. What is the GCF of 9968 and 9974?

Answer: GCF of 9968 and 9974 is 2.

2. 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.

3. What are the Factors of 9974?

Answer: Factors of 9974 are 1, 2, 4987, 9974. There are 4 integers that are factors of 9974. The greatest factor of 9974 is 9974.

4. How to Find the GCF of 9968 and 9974?

Answer:

Greatest Common Factor of 9968 and 9974 = 2

Step 1: Find the prime factorization of 9968

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

Step 2: Find the prime factorization of 9974

9974 = 2 x 4987

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9968 and 9974 is 2