What is the Greatest Common Factor of 88225 and 88234?

Greatest common factor (GCF) of 88225 and 88234 is 1.

GCF(88225,88234) = 1

We will now calculate the prime factors of 88225 and 88234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88225 and 88234.

How to find the GCF of 88225 and 88234?

We will first find the prime factorization of 88225 and 88234. After we will calculate the factors of 88225 and 88234 and find the biggest common factor number .

Step-1: Prime Factorization of 88225

Prime factors of 88225 are 5, 3529. Prime factorization of 88225 in exponential form is:

88225 = 5² × 3529¹

Step-2: Prime Factorization of 88234

Prime factors of 88234 are 2, 157, 281. Prime factorization of 88234 in exponential form is:

88234 = 2¹ × 157¹ × 281¹

Step-3: Factors of 88225

List of positive integer factors of 88225 that divides 88225 without a remainder.

1, 5, 25, 3529, 17645

Step-4: Factors of 88234

List of positive integer factors of 88234 that divides 88225 without a remainder.

1, 2, 157, 281, 314, 562, 44117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88225 and 88234. The biggest common factor number is the GCF number.
So the greatest common factor 88225 and 88234 is 1.

Also check out the Least Common Multiple of 88225 and 88234