Greatest Common Factor of 1962 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 1962, 1970 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1962 and 1970 is 2.

GCF(1962,1970) = 2

GCF of 1962 and 1970

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

GCF of:
and

Greatest Common Factor of 1962 and 1970

GCF of 1962 and 1970 is 2

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

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 1962 and 1970 is 2

Greatest Common Factor of 1962 and 1970 by matching factors method

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

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 1962 and 1970. The biggest common factor number is the GCF number.
So the greatest common factor 1962 and 1970 is 2.

Also check out the Least Common Multiple of 1962 and 1970

Properties of GCF 1962 and 1970

(i) The GCF of 1962 and 1970 is associative

GCF of 1962 and 1970 = GCF of 1970 and 1962

Related Greatest Common Factor of 1962

Related Greatest Common Factor of 1970

Frequently Asked Questions on GCF of 1962 and 1970

1. What is the GCF of 1962 and 1970?

Answer: GCF of 1962 and 1970 is 2.

2. 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.

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 1962 and 1970?

Answer:

Greatest Common Factor of 1962 and 1970 = 2

Step 1: Find the prime factorization of 1962

1962 = 2 x 3 x 3 x 109

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 1962 and 1970 is 2