Greatest Common Factor of 1968 and 1971

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 1968, 1971 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1968 and 1971 is 3.

GCF(1968,1971) = 3

GCF of 1968 and 1971

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

GCF of:
and

Greatest Common Factor of 1968 and 1971

GCF of 1968 and 1971 is 3

Prime Factorization of 1968


2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 1968 are 2,3,41. Prime factorization of 1968 in exponential form is:

1968 = 24×31×411

Prime Factorization of 1971


3 1971
3 657
3 219
73 73
1

Prime factors of 1971 are 3,73. Prime factorization of 1971 in exponential form is:

1971 = 33×731

∴ So by taking common prime factors GCF of 1968 and 1971 is 3

Greatest Common Factor of 1968 and 1971 by matching factors method

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968

Factors of 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1,3,9,27,73,219,657,1971

Greatest Common Factor

We found the factors and prime factorization of 1968 and 1971. The biggest common factor number is the GCF number.
So the greatest common factor 1968 and 1971 is 3.

Also check out the Least Common Multiple of 1968 and 1971

Properties of GCF 1968 and 1971

(i) The GCF of 1968 and 1971 is associative

GCF of 1968 and 1971 = GCF of 1971 and 1968

Related Greatest Common Factor of 1968

Related Greatest Common Factor of 1971

Frequently Asked Questions on GCF of 1968 and 1971

1. What is the GCF of 1968 and 1971?

Answer: GCF of 1968 and 1971 is 3.

2. What are the Factors of 1968?

Answer: Factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968. There are 20 integers that are factors of 1968. The greatest factor of 1968 is 1968.

3. What are the Factors of 1971?

Answer: Factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971. There are 8 integers that are factors of 1971. The greatest factor of 1971 is 1971.

4. How to Find the GCF of 1968 and 1971?

Answer:

Greatest Common Factor of 1968 and 1971 = 3

Step 1: Find the prime factorization of 1968

1968 = 2 x 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 1971

1971 = 3 x 3 x 3 x 73

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1968 and 1971 is 3