Greatest Common Factor of 1964 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 1964, 1966 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1964 and 1966 is 2.

GCF(1964,1966) = 2

GCF of 1964 and 1966

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

GCF of:
and

Greatest Common Factor of 1964 and 1966

GCF of 1964 and 1966 is 2

Prime Factorization of 1964


2 1964
2 982
491 491
1

Prime factors of 1964 are 2,491. Prime factorization of 1964 in exponential form is:

1964 = 22×4911

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 1964 and 1966 is 2

Greatest Common Factor of 1964 and 1966 by matching factors method

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1,2,4,491,982,1964

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 1964 and 1966. The biggest common factor number is the GCF number.
So the greatest common factor 1964 and 1966 is 2.

Also check out the Least Common Multiple of 1964 and 1966

Properties of GCF 1964 and 1966

(i) The GCF of 1964 and 1966 is associative

GCF of 1964 and 1966 = GCF of 1966 and 1964

Related Greatest Common Factor of 1964

Related Greatest Common Factor of 1966

Frequently Asked Questions on GCF of 1964 and 1966

1. What is the GCF of 1964 and 1966?

Answer: GCF of 1964 and 1966 is 2.

2. What are the Factors of 1964?

Answer: Factors of 1964 are 1, 2, 4, 491, 982, 1964. There are 6 integers that are factors of 1964. The greatest factor of 1964 is 1964.

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 1964 and 1966?

Answer:

Greatest Common Factor of 1964 and 1966 = 2

Step 1: Find the prime factorization of 1964

1964 = 2 x 2 x 491

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 1964 and 1966 is 2