Greatest Common Factor of 945 and 953

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 945, 953 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 945 and 953 is 1.

GCF(945,953) = 1

GCF of 945 and 953

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

GCF of:
and

Greatest Common Factor of 945 and 953

GCF of 945 and 953 is 1

Prime Factorization of 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3,5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

Prime Factorization of 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

∴ So by taking common prime factors GCF of 945 and 953 is 1

Greatest Common Factor of 945 and 953 by matching factors method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors and prime factorization of 945 and 953. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 953 is 1.

Also check out the Least Common Multiple of 945 and 953

Properties of GCF 945 and 953

(i) The GCF of 945 and 953 is associative

GCF of 945 and 953 = GCF of 953 and 945

Related Greatest Common Factor of 945

Related Greatest Common Factor of 953

Frequently Asked Questions on GCF of 945 and 953

1. What is the GCF of 945 and 953?

Answer: GCF of 945 and 953 is 1.

2. What are the Factors of 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

3. What are the Factors of 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

4. How to Find the GCF of 945 and 953?

Answer:

Greatest Common Factor of 945 and 953 = 1

Step 1: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 953

953 = 953

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 945 and 953 is 1