Greatest Common Factor of 1956 and 1962

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 1956, 1962 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1956 and 1962 is 6.

GCF(1956,1962) = 6

GCF of 1956 and 1962

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

GCF of:
and

Greatest Common Factor of 1956 and 1962

GCF of 1956 and 1962 is 6

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

Prime Factorization of 1962


2 1962
3 981
3 327
109 109
1

Prime factors of 1962 are 2,3,109. Prime factorization of 1962 in exponential form is:

1962 = 21×32×1091

∴ So by taking common prime factors GCF of 1956 and 1962 is 6

Greatest Common Factor of 1956 and 1962 by matching factors method

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

Factors of 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1,2,3,6,9,18,109,218,327,654,981,1962

Greatest Common Factor

We found the factors and prime factorization of 1956 and 1962. The biggest common factor number is the GCF number.
So the greatest common factor 1956 and 1962 is 6.

Also check out the Least Common Multiple of 1956 and 1962

Properties of GCF 1956 and 1962

(i) The GCF of 1956 and 1962 is associative

GCF of 1956 and 1962 = GCF of 1962 and 1956

Related Greatest Common Factor of 1956

Related Greatest Common Factor of 1962

Frequently Asked Questions on GCF of 1956 and 1962

1. What is the GCF of 1956 and 1962?

Answer: GCF of 1956 and 1962 is 6.

2. 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.

3. What are the Factors of 1962?

Answer: Factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962. There are 12 integers that are factors of 1962. The greatest factor of 1962 is 1962.

4. How to Find the GCF of 1956 and 1962?

Answer:

Greatest Common Factor of 1956 and 1962 = 6

Step 1: Find the prime factorization of 1956

1956 = 2 x 2 x 3 x 163

Step 2: Find the prime factorization of 1962

1962 = 2 x 3 x 3 x 109

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1956 and 1962 is 6