What is the Greatest Common Factor of 19925 and 19945?

Greatest common factor (GCF) of 19925 and 19945 is 5.

GCF(19925,19945) = 5

We will now calculate the prime factors of 19925 and 19945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19925 and 19945.

How to find the GCF of 19925 and 19945?

We will first find the prime factorization of 19925 and 19945. After we will calculate the factors of 19925 and 19945 and find the biggest common factor number .

Step-1: Prime Factorization of 19925

Prime factors of 19925 are 5, 797. Prime factorization of 19925 in exponential form is:

19925 = 5² × 797¹

Step-2: Prime Factorization of 19945

Prime factors of 19945 are 5, 3989. Prime factorization of 19945 in exponential form is:

19945 = 5¹ × 3989¹

Step-3: Factors of 19925

List of positive integer factors of 19925 that divides 19925 without a remainder.

1, 5, 25, 797, 3985

Step-4: Factors of 19945

List of positive integer factors of 19945 that divides 19925 without a remainder.

1, 5, 3989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19925 and 19945. The biggest common factor number is the GCF number.
So the greatest common factor 19925 and 19945 is 5.

Also check out the Least Common Multiple of 19925 and 19945