Greatest Common Factor of 1941 and 1947

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 1941, 1947 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1941 and 1947 is 3.

GCF(1941,1947) = 3

GCF of 1941 and 1947

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

GCF of:
and

Greatest Common Factor of 1941 and 1947

GCF of 1941 and 1947 is 3

Prime Factorization of 1941


3 1941
647 647
1

Prime factors of 1941 are 3,647. Prime factorization of 1941 in exponential form is:

1941 = 31×6471

Prime Factorization of 1947


3 1947
11 649
59 59
1

Prime factors of 1947 are 3,11,59. Prime factorization of 1947 in exponential form is:

1947 = 31×111×591

∴ So by taking common prime factors GCF of 1941 and 1947 is 3

Greatest Common Factor of 1941 and 1947 by matching factors method

Factors of 1941

List of positive integer factors of 1941 that divides 1941 without a remainder.

1,3,647,1941

Factors of 1947

List of positive integer factors of 1947 that divides 1947 without a remainder.

1,3,11,33,59,177,649,1947

Greatest Common Factor

We found the factors and prime factorization of 1941 and 1947. The biggest common factor number is the GCF number.
So the greatest common factor 1941 and 1947 is 3.

Also check out the Least Common Multiple of 1941 and 1947

Properties of GCF 1941 and 1947

(i) The GCF of 1941 and 1947 is associative

GCF of 1941 and 1947 = GCF of 1947 and 1941

Related Greatest Common Factor of 1941

Related Greatest Common Factor of 1947

Frequently Asked Questions on GCF of 1941 and 1947

1. What is the GCF of 1941 and 1947?

Answer: GCF of 1941 and 1947 is 3.

2. What are the Factors of 1941?

Answer: Factors of 1941 are 1, 3, 647, 1941. There are 4 integers that are factors of 1941. The greatest factor of 1941 is 1941.

3. What are the Factors of 1947?

Answer: Factors of 1947 are 1, 3, 11, 33, 59, 177, 649, 1947. There are 8 integers that are factors of 1947. The greatest factor of 1947 is 1947.

4. How to Find the GCF of 1941 and 1947?

Answer:

Greatest Common Factor of 1941 and 1947 = 3

Step 1: Find the prime factorization of 1941

1941 = 3 x 647

Step 2: Find the prime factorization of 1947

1947 = 3 x 11 x 59

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 1941 and 1947 is 3