Greatest Common Factor of 1966 and 1970

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 1966, 1970 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1966 and 1970 is 2.

GCF(1966,1970) = 2

GCF of 1966 and 1970

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

GCF of:
and

Greatest Common Factor of 1966 and 1970

GCF of 1966 and 1970 is 2

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

Prime Factorization of 1970


2 1970
5 985
197 197
1

Prime factors of 1970 are 2,5,197. Prime factorization of 1970 in exponential form is:

1970 = 21×51×1971

∴ So by taking common prime factors GCF of 1966 and 1970 is 2

Greatest Common Factor of 1966 and 1970 by matching factors method

Factors of 1966

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

1,2,983,1966

Factors of 1970

List of positive integer factors of 1970 that divides 1970 without a remainder.

1,2,5,10,197,394,985,1970

Greatest Common Factor

We found the factors and prime factorization of 1966 and 1970. The biggest common factor number is the GCF number.
So the greatest common factor 1966 and 1970 is 2.

Also check out the Least Common Multiple of 1966 and 1970

Properties of GCF 1966 and 1970

(i) The GCF of 1966 and 1970 is associative

GCF of 1966 and 1970 = GCF of 1970 and 1966

Related Greatest Common Factor of 1966

Related Greatest Common Factor of 1970

Frequently Asked Questions on GCF of 1966 and 1970

1. What is the GCF of 1966 and 1970?

Answer: GCF of 1966 and 1970 is 2.

2. 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.

3. What are the Factors of 1970?

Answer: Factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970. There are 8 integers that are factors of 1970. The greatest factor of 1970 is 1970.

4. How to Find the GCF of 1966 and 1970?

Answer:

Greatest Common Factor of 1966 and 1970 = 2

Step 1: Find the prime factorization of 1966

1966 = 2 x 983

Step 2: Find the prime factorization of 1970

1970 = 2 x 5 x 197

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 1966 and 1970 is 2