What is the Greatest Common Factor of 85250 and 85265?

Greatest common factor (GCF) of 85250 and 85265 is 5.

GCF(85250,85265) = 5

We will now calculate the prime factors of 85250 and 85265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85250 and 85265.

How to find the GCF of 85250 and 85265?

We will first find the prime factorization of 85250 and 85265. After we will calculate the factors of 85250 and 85265 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 85265

Prime factors of 85265 are 5, 17053. Prime factorization of 85265 in exponential form is:

85265 = 5¹ × 17053¹

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 85265

List of positive integer factors of 85265 that divides 85250 without a remainder.

1, 5, 17053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85250 and 85265. The biggest common factor number is the GCF number.
So the greatest common factor 85250 and 85265 is 5.

Also check out the Least Common Multiple of 85250 and 85265