What is the Greatest Common Factor of 85250 and 85255?

Greatest common factor (GCF) of 85250 and 85255 is 5.

GCF(85250,85255) = 5

We will now calculate the prime factors of 85250 and 85255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85250 and 85255.

How to find the GCF of 85250 and 85255?

We will first find the prime factorization of 85250 and 85255. After we will calculate the factors of 85250 and 85255 and find the biggest common factor number .

Step-1: Prime Factorization of 85250

Prime factors of 85250 are 2, 5, 11, 31. Prime factorization of 85250 in exponential form is:

85250 = 2¹ × 5³ × 11¹ × 31¹

Step-2: Prime Factorization of 85255

Prime factors of 85255 are 5, 17, 59. Prime factorization of 85255 in exponential form is:

85255 = 5¹ × 17² × 59¹

Step-3: Factors of 85250

List of positive integer factors of 85250 that divides 85250 without a remainder.

1, 2, 5, 10, 11, 22, 25, 31, 50, 55, 62, 110, 125, 155, 250, 275, 310, 341, 550, 682, 775, 1375, 1550, 1705, 2750, 3410, 3875, 7750, 8525, 17050, 42625

Step-4: Factors of 85255

List of positive integer factors of 85255 that divides 85250 without a remainder.

1, 5, 17, 59, 85, 289, 295, 1003, 1445, 5015, 17051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85250 and 85255. The biggest common factor number is the GCF number.
So the greatest common factor 85250 and 85255 is 5.

Also check out the Least Common Multiple of 85250 and 85255