Greatest Common Factor of 1960 and 1966

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 1960, 1966 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1960 and 1966 is 2.

GCF(1960,1966) = 2

GCF of 1960 and 1966

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

GCF of:
and

Greatest Common Factor of 1960 and 1966

GCF of 1960 and 1966 is 2

Prime Factorization of 1960


2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 1960 are 2,5,7. Prime factorization of 1960 in exponential form is:

1960 = 23×51×72

Prime Factorization of 1966


2 1966
983 983
1

Prime factors of 1966 are 2,983. Prime factorization of 1966 in exponential form is:

1966 = 21×9831

∴ So by taking common prime factors GCF of 1960 and 1966 is 2

Greatest Common Factor of 1960 and 1966 by matching factors method

Factors of 1960

List of positive integer factors of 1960 that divides 1960 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960

Factors of 1966

List of positive integer factors of 1966 that divides 1966 without a remainder.

1,2,983,1966

Greatest Common Factor

We found the factors and prime factorization of 1960 and 1966. The biggest common factor number is the GCF number.
So the greatest common factor 1960 and 1966 is 2.

Also check out the Least Common Multiple of 1960 and 1966

Properties of GCF 1960 and 1966

(i) The GCF of 1960 and 1966 is associative

GCF of 1960 and 1966 = GCF of 1966 and 1960

Related Greatest Common Factor of 1960

Related Greatest Common Factor of 1966

Frequently Asked Questions on GCF of 1960 and 1966

1. What is the GCF of 1960 and 1966?

Answer: GCF of 1960 and 1966 is 2.

2. What are the Factors of 1960?

Answer: Factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960. There are 24 integers that are factors of 1960. The greatest factor of 1960 is 1960.

3. What are the Factors of 1966?

Answer: Factors of 1966 are 1, 2, 983, 1966. There are 4 integers that are factors of 1966. The greatest factor of 1966 is 1966.

4. How to Find the GCF of 1960 and 1966?

Answer:

Greatest Common Factor of 1960 and 1966 = 2

Step 1: Find the prime factorization of 1960

1960 = 2 x 2 x 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 1966

1966 = 2 x 983

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1960 and 1966 is 2