Greatest Common Factor of 1952 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 1952, 1960 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1952 and 1960 is 8.

GCF(1952,1960) = 8

GCF of 1952 and 1960

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

GCF of:
and

Greatest Common Factor of 1952 and 1960

GCF of 1952 and 1960 is 8

Prime Factorization of 1952


2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 1952 are 2,61. Prime factorization of 1952 in exponential form is:

1952 = 25×611

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 1952 and 1960 is 8

Greatest Common Factor of 1952 and 1960 by matching factors method

Factors of 1952

List of positive integer factors of 1952 that divides 1952 without a remainder.

1,2,4,8,16,32,61,122,244,488,976,1952

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 1952 and 1960. The biggest common factor number is the GCF number.
So the greatest common factor 1952 and 1960 is 8.

Also check out the Least Common Multiple of 1952 and 1960

Properties of GCF 1952 and 1960

(i) The GCF of 1952 and 1960 is associative

GCF of 1952 and 1960 = GCF of 1960 and 1952

Related Greatest Common Factor of 1952

Related Greatest Common Factor of 1960

Frequently Asked Questions on GCF of 1952 and 1960

1. What is the GCF of 1952 and 1960?

Answer: GCF of 1952 and 1960 is 8.

2. What are the Factors of 1952?

Answer: Factors of 1952 are 1, 2, 4, 8, 16, 32, 61, 122, 244, 488, 976, 1952. There are 12 integers that are factors of 1952. The greatest factor of 1952 is 1952.

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 1952 and 1960?

Answer:

Greatest Common Factor of 1952 and 1960 = 8

Step 1: Find the prime factorization of 1952

1952 = 2 x 2 x 2 x 2 x 2 x 61

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1952 and 1960 is 8