What is the Greatest Common Factor of 925 and 943?

Greatest common factor (GCF) of 925 and 943 is 1.

GCF(925,943) = 1

We will now calculate the prime factors of 925 and 943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 925 and 943.

How to find the GCF of 925 and 943?

We will first find the prime factorization of 925 and 943. After we will calculate the factors of 925 and 943 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 943

Prime factors of 943 are 23, 41. Prime factorization of 943 in exponential form is:

943 = 23¹ × 41¹

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 943

List of positive integer factors of 943 that divides 925 without a remainder.

1, 23, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 925 and 943. The biggest common factor number is the GCF number.
So the greatest common factor 925 and 943 is 1.

Also check out the Least Common Multiple of 925 and 943