What is the Greatest Common Factor of 945 and 953?

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

GCF(945,953) = 1

We will now calculate the prime factors of 945 and 953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 945 and 953.

How to find the GCF of 945 and 953?

We will first find the prime factorization of 945 and 953. After we will calculate the factors of 945 and 953 and find the biggest common factor number .

Step-1: Prime Factorization of 945

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

945 = 3³ × 5¹ × 7¹

Step-2: Prime Factorization of 953

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

953 = 953¹

Step-3: 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

Step-4: Factors of 953

List of positive integer factors of 953 that divides 945 without a remainder.

Final Step: Biggest Common Factor Number

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