What is the Greatest Common Factor of 88225 and 88244?

Greatest common factor (GCF) of 88225 and 88244 is 1.

GCF(88225,88244) = 1

We will now calculate the prime factors of 88225 and 88244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88225 and 88244.

How to find the GCF of 88225 and 88244?

We will first find the prime factorization of 88225 and 88244. After we will calculate the factors of 88225 and 88244 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 88244

Prime factors of 88244 are 2, 13, 1697. Prime factorization of 88244 in exponential form is:

88244 = 2² × 13¹ × 1697¹

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 88244

List of positive integer factors of 88244 that divides 88225 without a remainder.

1, 2, 4, 13, 26, 52, 1697, 3394, 6788, 22061, 44122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88225 and 88244. The biggest common factor number is the GCF number.
So the greatest common factor 88225 and 88244 is 1.

Also check out the Least Common Multiple of 88225 and 88244