What is the Greatest Common Factor of 925 and 940?

Greatest common factor (GCF) of 925 and 940 is 5.

GCF(925,940) = 5

We will now calculate the prime factors of 925 and 940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 925 and 940.

How to find the GCF of 925 and 940?

We will first find the prime factorization of 925 and 940. After we will calculate the factors of 925 and 940 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 940

Prime factors of 940 are 2, 5, 47. Prime factorization of 940 in exponential form is:

940 = 2² × 5¹ × 47¹

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 940

List of positive integer factors of 940 that divides 925 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 925 and 940. The biggest common factor number is the GCF number.
So the greatest common factor 925 and 940 is 5.

Also check out the Least Common Multiple of 925 and 940