What is the Greatest Common Factor of 97925 and 97945?

Greatest common factor (GCF) of 97925 and 97945 is 5.

GCF(97925,97945) = 5

We will now calculate the prime factors of 97925 and 97945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97925 and 97945.

How to find the GCF of 97925 and 97945?

We will first find the prime factorization of 97925 and 97945. After we will calculate the factors of 97925 and 97945 and find the biggest common factor number .

Step-1: Prime Factorization of 97925

Prime factors of 97925 are 5, 3917. Prime factorization of 97925 in exponential form is:

97925 = 5² × 3917¹

Step-2: Prime Factorization of 97945

Prime factors of 97945 are 5, 19, 1031. Prime factorization of 97945 in exponential form is:

97945 = 5¹ × 19¹ × 1031¹

Step-3: Factors of 97925

List of positive integer factors of 97925 that divides 97925 without a remainder.

1, 5, 25, 3917, 19585

Step-4: Factors of 97945

List of positive integer factors of 97945 that divides 97925 without a remainder.

1, 5, 19, 95, 1031, 5155, 19589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97925 and 97945. The biggest common factor number is the GCF number.
So the greatest common factor 97925 and 97945 is 5.

Also check out the Least Common Multiple of 97925 and 97945