Greatest Common Factor of 969 and 975

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 969, 975 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 969 and 975 is 3.

GCF(969,975) = 3

GCF of 969 and 975

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

GCF of:
and

Greatest Common Factor of 969 and 975

GCF of 969 and 975 is 3

Prime Factorization of 969


3 969
17 323
19 19
1

Prime factors of 969 are 3,17,19. Prime factorization of 969 in exponential form is:

969 = 31×171×191

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3,5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

∴ So by taking common prime factors GCF of 969 and 975 is 3

Greatest Common Factor of 969 and 975 by matching factors method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors and prime factorization of 969 and 975. The biggest common factor number is the GCF number.
So the greatest common factor 969 and 975 is 3.

Also check out the Least Common Multiple of 969 and 975

Properties of GCF 969 and 975

(i) The GCF of 969 and 975 is associative

GCF of 969 and 975 = GCF of 975 and 969

Related Greatest Common Factor of 969

Related Greatest Common Factor of 975

Frequently Asked Questions on GCF of 969 and 975

1. What is the GCF of 969 and 975?

Answer: GCF of 969 and 975 is 3.

2. What are the Factors of 969?

Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.

3. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

4. How to Find the GCF of 969 and 975?

Answer:

Greatest Common Factor of 969 and 975 = 3

Step 1: Find the prime factorization of 969

969 = 3 x 17 x 19

Step 2: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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

GCF = 3

Step 4: Therefore, the greatest common factor of 969 and 975 is 3