What is the Greatest Common Factor of 85225 and 85244?

Greatest common factor (GCF) of 85225 and 85244 is 1.

GCF(85225,85244) = 1

We will now calculate the prime factors of 85225 and 85244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85225 and 85244.

How to find the GCF of 85225 and 85244?

We will first find the prime factorization of 85225 and 85244. After we will calculate the factors of 85225 and 85244 and find the biggest common factor number .

Step-1: Prime Factorization of 85225

Prime factors of 85225 are 5, 7, 487. Prime factorization of 85225 in exponential form is:

85225 = 5² × 7¹ × 487¹

Step-2: Prime Factorization of 85244

Prime factors of 85244 are 2, 101, 211. Prime factorization of 85244 in exponential form is:

85244 = 2² × 101¹ × 211¹

Step-3: Factors of 85225

List of positive integer factors of 85225 that divides 85225 without a remainder.

1, 5, 7, 25, 35, 175, 487, 2435, 3409, 12175, 17045

Step-4: Factors of 85244

List of positive integer factors of 85244 that divides 85225 without a remainder.

1, 2, 4, 101, 202, 211, 404, 422, 844, 21311, 42622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85225 and 85244. The biggest common factor number is the GCF number.
So the greatest common factor 85225 and 85244 is 1.

Also check out the Least Common Multiple of 85225 and 85244