What is the Greatest Common Factor of 25099 and 25118?

Greatest common factor (GCF) of 25099 and 25118 is 19.

GCF(25099,25118) = 19

We will now calculate the prime factors of 25099 and 25118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25099 and 25118.

How to find the GCF of 25099 and 25118?

We will first find the prime factorization of 25099 and 25118. After we will calculate the factors of 25099 and 25118 and find the biggest common factor number .

Step-1: Prime Factorization of 25099

Prime factors of 25099 are 19, 1321. Prime factorization of 25099 in exponential form is:

25099 = 19¹ × 1321¹

Step-2: Prime Factorization of 25118

Prime factors of 25118 are 2, 19, 661. Prime factorization of 25118 in exponential form is:

25118 = 2¹ × 19¹ × 661¹

Step-3: Factors of 25099

List of positive integer factors of 25099 that divides 25099 without a remainder.

1, 19, 1321

Step-4: Factors of 25118

List of positive integer factors of 25118 that divides 25099 without a remainder.

1, 2, 19, 38, 661, 1322, 12559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25099 and 25118. The biggest common factor number is the GCF number.
So the greatest common factor 25099 and 25118 is 19.

Also check out the Least Common Multiple of 25099 and 25118