Greatest Common Factor of 9968 and 9972

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, 9972 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9968 and 9972 is 4.

GCF(9968,9972) = 4

GCF of 9968 and 9972

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

GCF of:
and

Greatest Common Factor of 9968 and 9972

GCF of 9968 and 9972 is 4

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 9972


2 9972
2 4986
3 2493
3 831
277 277
1

Prime factors of 9972 are 2,3,277. Prime factorization of 9972 in exponential form is:

9972 = 22×32×2771

∴ So by taking common prime factors GCF of 9968 and 9972 is 4

Greatest Common Factor of 9968 and 9972 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 9972

List of positive integer factors of 9972 that divides 9972 without a remainder.

1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972

Greatest Common Factor

We found the factors and prime factorization of 9968 and 9972. The biggest common factor number is the GCF number.
So the greatest common factor 9968 and 9972 is 4.

Also check out the Least Common Multiple of 9968 and 9972

Properties of GCF 9968 and 9972

(i) The GCF of 9968 and 9972 is associative

GCF of 9968 and 9972 = GCF of 9972 and 9968

Related Greatest Common Factor of 9968

Related Greatest Common Factor of 9972

Frequently Asked Questions on GCF of 9968 and 9972

1. What is the GCF of 9968 and 9972?

Answer: GCF of 9968 and 9972 is 4.

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 9972?

Answer: Factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972. There are 18 integers that are factors of 9972. The greatest factor of 9972 is 9972.

4. How to Find the GCF of 9968 and 9972?

Answer:

Greatest Common Factor of 9968 and 9972 = 4

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 9972

9972 = 2 x 2 x 3 x 3 x 277

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9968 and 9972 is 4