What is the Greatest Common Factor of 85225 and 85239?

Greatest common factor (GCF) of 85225 and 85239 is 7.

GCF(85225,85239) = 7

We will now calculate the prime factors of 85225 and 85239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85225 and 85239.

How to find the GCF of 85225 and 85239?

We will first find the prime factorization of 85225 and 85239. After we will calculate the factors of 85225 and 85239 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 85239

Prime factors of 85239 are 3, 7, 11, 41. Prime factorization of 85239 in exponential form is:

85239 = 3³ × 7¹ × 11¹ × 41¹

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 85239

List of positive integer factors of 85239 that divides 85225 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 41, 63, 77, 99, 123, 189, 231, 287, 297, 369, 451, 693, 861, 1107, 1353, 2079, 2583, 3157, 4059, 7749, 9471, 12177, 28413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85225 and 85239. The biggest common factor number is the GCF number.
So the greatest common factor 85225 and 85239 is 7.

Also check out the Least Common Multiple of 85225 and 85239