What is the Greatest Common Factor of 89225 and 89241?

Greatest common factor (GCF) of 89225 and 89241 is 1.

GCF(89225,89241) = 1

We will now calculate the prime factors of 89225 and 89241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89225 and 89241.

How to find the GCF of 89225 and 89241?

We will first find the prime factorization of 89225 and 89241. After we will calculate the factors of 89225 and 89241 and find the biggest common factor number .

Step-1: Prime Factorization of 89225

Prime factors of 89225 are 5, 43, 83. Prime factorization of 89225 in exponential form is:

89225 = 5² × 43¹ × 83¹

Step-2: Prime Factorization of 89241

Prime factors of 89241 are 3, 151, 197. Prime factorization of 89241 in exponential form is:

89241 = 3¹ × 151¹ × 197¹

Step-3: Factors of 89225

List of positive integer factors of 89225 that divides 89225 without a remainder.

1, 5, 25, 43, 83, 215, 415, 1075, 2075, 3569, 17845

Step-4: Factors of 89241

List of positive integer factors of 89241 that divides 89225 without a remainder.

1, 3, 151, 197, 453, 591, 29747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89225 and 89241. The biggest common factor number is the GCF number.
So the greatest common factor 89225 and 89241 is 1.

Also check out the Least Common Multiple of 89225 and 89241