Greatest Common Factor of 1953 and 1956

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 1953, 1956 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1953 and 1956 is 3.

GCF(1953,1956) = 3

GCF of 1953 and 1956

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

GCF of:
and

Greatest Common Factor of 1953 and 1956

GCF of 1953 and 1956 is 3

Prime Factorization of 1953


3 1953
3 651
7 217
31 31
1

Prime factors of 1953 are 3,7,31. Prime factorization of 1953 in exponential form is:

1953 = 32×71×311

Prime Factorization of 1956


2 1956
2 978
3 489
163 163
1

Prime factors of 1956 are 2,3,163. Prime factorization of 1956 in exponential form is:

1956 = 22×31×1631

∴ So by taking common prime factors GCF of 1953 and 1956 is 3

Greatest Common Factor of 1953 and 1956 by matching factors method

Factors of 1953

List of positive integer factors of 1953 that divides 1953 without a remainder.

1,3,7,9,21,31,63,93,217,279,651,1953

Factors of 1956

List of positive integer factors of 1956 that divides 1956 without a remainder.

1,2,3,4,6,12,163,326,489,652,978,1956

Greatest Common Factor

We found the factors and prime factorization of 1953 and 1956. The biggest common factor number is the GCF number.
So the greatest common factor 1953 and 1956 is 3.

Also check out the Least Common Multiple of 1953 and 1956

Properties of GCF 1953 and 1956

(i) The GCF of 1953 and 1956 is associative

GCF of 1953 and 1956 = GCF of 1956 and 1953

Related Greatest Common Factor of 1953

Related Greatest Common Factor of 1956

Frequently Asked Questions on GCF of 1953 and 1956

1. What is the GCF of 1953 and 1956?

Answer: GCF of 1953 and 1956 is 3.

2. What are the Factors of 1953?

Answer: Factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953. There are 12 integers that are factors of 1953. The greatest factor of 1953 is 1953.

3. What are the Factors of 1956?

Answer: Factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956. There are 12 integers that are factors of 1956. The greatest factor of 1956 is 1956.

4. How to Find the GCF of 1953 and 1956?

Answer:

Greatest Common Factor of 1953 and 1956 = 3

Step 1: Find the prime factorization of 1953

1953 = 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 1956

1956 = 2 x 2 x 3 x 163

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 1953 and 1956 is 3