What is the Greatest Common Factor of 925 and 945?

Greatest common factor (GCF) of 925 and 945 is 5.

GCF(925,945) = 5

We will now calculate the prime factors of 925 and 945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 925 and 945.

How to find the GCF of 925 and 945?

We will first find the prime factorization of 925 and 945. After we will calculate the factors of 925 and 945 and find the biggest common factor number .

Step-1: Prime Factorization of 925

Prime factors of 925 are 5, 37. Prime factorization of 925 in exponential form is:

925 = 5² × 37¹

Step-2: 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-3: Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185

Step-4: Factors of 945

List of positive integer factors of 945 that divides 925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 925 and 945. The biggest common factor number is the GCF number.
So the greatest common factor 925 and 945 is 5.

Also check out the Least Common Multiple of 925 and 945