Greatest Common Factor of 1958 and 1960

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 1958, 1960 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1958 and 1960 is 2.

GCF(1958,1960) = 2

GCF of 1958 and 1960

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

GCF of:
and

Greatest Common Factor of 1958 and 1960

GCF of 1958 and 1960 is 2

Prime Factorization of 1958


2 1958
11 979
89 89
1

Prime factors of 1958 are 2,11,89. Prime factorization of 1958 in exponential form is:

1958 = 21×111×891

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

∴ So by taking common prime factors GCF of 1958 and 1960 is 2

Greatest Common Factor of 1958 and 1960 by matching factors method

Factors of 1958

List of positive integer factors of 1958 that divides 1958 without a remainder.

1,2,11,22,89,178,979,1958

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

Greatest Common Factor

We found the factors and prime factorization of 1958 and 1960. The biggest common factor number is the GCF number.
So the greatest common factor 1958 and 1960 is 2.

Also check out the Least Common Multiple of 1958 and 1960

Properties of GCF 1958 and 1960

(i) The GCF of 1958 and 1960 is associative

GCF of 1958 and 1960 = GCF of 1960 and 1958

Related Greatest Common Factor of 1958

Related Greatest Common Factor of 1960

Frequently Asked Questions on GCF of 1958 and 1960

1. What is the GCF of 1958 and 1960?

Answer: GCF of 1958 and 1960 is 2.

2. What are the Factors of 1958?

Answer: Factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958. There are 8 integers that are factors of 1958. The greatest factor of 1958 is 1958.

3. 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.

4. How to Find the GCF of 1958 and 1960?

Answer:

Greatest Common Factor of 1958 and 1960 = 2

Step 1: Find the prime factorization of 1958

1958 = 2 x 11 x 89

Step 2: Find the prime factorization of 1960

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

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 1958 and 1960 is 2