What is the Greatest Common Factor of 94235 and 94250?

Greatest common factor (GCF) of 94235 and 94250 is 5.

GCF(94235,94250) = 5

We will now calculate the prime factors of 94235 and 94250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94235 and 94250.

How to find the GCF of 94235 and 94250?

We will first find the prime factorization of 94235 and 94250. After we will calculate the factors of 94235 and 94250 and find the biggest common factor number .

Step-1: Prime Factorization of 94235

Prime factors of 94235 are 5, 47, 401. Prime factorization of 94235 in exponential form is:

94235 = 5¹ × 47¹ × 401¹

Step-2: Prime Factorization of 94250

Prime factors of 94250 are 2, 5, 13, 29. Prime factorization of 94250 in exponential form is:

94250 = 2¹ × 5³ × 13¹ × 29¹

Step-3: Factors of 94235

List of positive integer factors of 94235 that divides 94235 without a remainder.

1, 5, 47, 235, 401, 2005, 18847

Step-4: Factors of 94250

List of positive integer factors of 94250 that divides 94235 without a remainder.

1, 2, 5, 10, 13, 25, 26, 29, 50, 58, 65, 125, 130, 145, 250, 290, 325, 377, 650, 725, 754, 1450, 1625, 1885, 3250, 3625, 3770, 7250, 9425, 18850, 47125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94235 and 94250. The biggest common factor number is the GCF number.
So the greatest common factor 94235 and 94250 is 5.

Also check out the Least Common Multiple of 94235 and 94250