Greatest Common Factor of 945 and 947

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

Greatest common factor (GCF) of 945 and 947 is 1.

GCF(945,947) = 1

GCF of 945 and 947

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

GCF of:
and

Greatest Common Factor of 945 and 947

GCF of 945 and 947 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 947


947 947
1

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 9471

∴ So by taking common prime factors GCF of 945 and 947 is 1

Greatest Common Factor of 945 and 947 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 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors and prime factorization of 945 and 947. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 947 is 1.

Also check out the Least Common Multiple of 945 and 947

Properties of GCF 945 and 947

(i) The GCF of 945 and 947 is associative

GCF of 945 and 947 = GCF of 947 and 945

Related Greatest Common Factor of 945

Related Greatest Common Factor of 947

Frequently Asked Questions on GCF of 945 and 947

1. What is the GCF of 945 and 947?

Answer: GCF of 945 and 947 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 947?

Answer: Factors of 947 are 1, 947. There are 2 integers that are factors of 947. The greatest factor of 947 is 947.

4. How to Find the GCF of 945 and 947?

Answer:

Greatest Common Factor of 945 and 947 = 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 947

947 = 947

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 947 is 1