What is the Greatest Common Factor of 99925 and 99941?

Greatest common factor (GCF) of 99925 and 99941 is 1.

GCF(99925,99941) = 1

We will now calculate the prime factors of 99925 and 99941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99925 and 99941.

How to find the GCF of 99925 and 99941?

We will first find the prime factorization of 99925 and 99941. After we will calculate the factors of 99925 and 99941 and find the biggest common factor number .

Step-1: Prime Factorization of 99925

Prime factors of 99925 are 5, 7, 571. Prime factorization of 99925 in exponential form is:

99925 = 5² × 7¹ × 571¹

Step-2: Prime Factorization of 99941

Prime factors of 99941 are 139, 719. Prime factorization of 99941 in exponential form is:

99941 = 139¹ × 719¹

Step-3: Factors of 99925

List of positive integer factors of 99925 that divides 99925 without a remainder.

1, 5, 7, 25, 35, 175, 571, 2855, 3997, 14275, 19985

Step-4: Factors of 99941

List of positive integer factors of 99941 that divides 99925 without a remainder.

1, 139, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99925 and 99941. The biggest common factor number is the GCF number.
So the greatest common factor 99925 and 99941 is 1.

Also check out the Least Common Multiple of 99925 and 99941