Greatest Common Factor of 1960 and 1964

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, 1964 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1960 and 1964 is 4.

GCF(1960,1964) = 4

GCF of 1960 and 1964

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

GCF of:
and

Greatest Common Factor of 1960 and 1964

GCF of 1960 and 1964 is 4

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 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

∴ So by taking common prime factors GCF of 1960 and 1964 is 4

Greatest Common Factor of 1960 and 1964 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 1964

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

1,2,4,491,982,1964

Greatest Common Factor

We found the factors and prime factorization of 1960 and 1964. The biggest common factor number is the GCF number.
So the greatest common factor 1960 and 1964 is 4.

Also check out the Least Common Multiple of 1960 and 1964

Properties of GCF 1960 and 1964

(i) The GCF of 1960 and 1964 is associative

GCF of 1960 and 1964 = GCF of 1964 and 1960

Related Greatest Common Factor of 1960

Related Greatest Common Factor of 1964

Frequently Asked Questions on GCF of 1960 and 1964

1. What is the GCF of 1960 and 1964?

Answer: GCF of 1960 and 1964 is 4.

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 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.

4. How to Find the GCF of 1960 and 1964?

Answer:

Greatest Common Factor of 1960 and 1964 = 4

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 1964

1964 = 2 x 2 x 491

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1960 and 1964 is 4