What is the Greatest Common Factor of 27235 and 27250?

Greatest common factor (GCF) of 27235 and 27250 is 5.

GCF(27235,27250) = 5

We will now calculate the prime factors of 27235 and 27250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27235 and 27250.

How to find the GCF of 27235 and 27250?

We will first find the prime factorization of 27235 and 27250. After we will calculate the factors of 27235 and 27250 and find the biggest common factor number .

Step-1: Prime Factorization of 27235

Prime factors of 27235 are 5, 13, 419. Prime factorization of 27235 in exponential form is:

27235 = 5¹ × 13¹ × 419¹

Step-2: Prime Factorization of 27250

Prime factors of 27250 are 2, 5, 109. Prime factorization of 27250 in exponential form is:

27250 = 2¹ × 5³ × 109¹

Step-3: Factors of 27235

List of positive integer factors of 27235 that divides 27235 without a remainder.

1, 5, 13, 65, 419, 2095, 5447

Step-4: Factors of 27250

List of positive integer factors of 27250 that divides 27235 without a remainder.

1, 2, 5, 10, 25, 50, 109, 125, 218, 250, 545, 1090, 2725, 5450, 13625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27235 and 27250. The biggest common factor number is the GCF number.
So the greatest common factor 27235 and 27250 is 5.

Also check out the Least Common Multiple of 27235 and 27250