Greatest Common Factor of 945 and 949

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

Greatest common factor (GCF) of 945 and 949 is 1.

GCF(945,949) = 1

GCF of 945 and 949

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

GCF of:
and

Greatest Common Factor of 945 and 949

GCF of 945 and 949 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 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

∴ So by taking common prime factors GCF of 945 and 949 is 1

Greatest Common Factor of 945 and 949 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 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors and prime factorization of 945 and 949. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 949 is 1.

Also check out the Least Common Multiple of 945 and 949

Properties of GCF 945 and 949

(i) The GCF of 945 and 949 is associative

GCF of 945 and 949 = GCF of 949 and 945

Related Greatest Common Factor of 945

Related Greatest Common Factor of 949

Frequently Asked Questions on GCF of 945 and 949

1. What is the GCF of 945 and 949?

Answer: GCF of 945 and 949 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 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

4. How to Find the GCF of 945 and 949?

Answer:

Greatest Common Factor of 945 and 949 = 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 949

949 = 13 x 73

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 949 is 1