What is the Greatest Common Factor of 83250 and 83269?

Greatest common factor (GCF) of 83250 and 83269 is 1.

GCF(83250,83269) = 1

We will now calculate the prime factors of 83250 and 83269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83250 and 83269.

How to find the GCF of 83250 and 83269?

We will first find the prime factorization of 83250 and 83269. After we will calculate the factors of 83250 and 83269 and find the biggest common factor number .

Step-1: Prime Factorization of 83250

Prime factors of 83250 are 2, 3, 5, 37. Prime factorization of 83250 in exponential form is:

83250 = 2¹ × 3² × 5³ × 37¹

Step-2: Prime Factorization of 83269

Prime factors of 83269 are 83269. Prime factorization of 83269 in exponential form is:

83269 = 83269¹

Step-3: Factors of 83250

List of positive integer factors of 83250 that divides 83250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 37, 45, 50, 74, 75, 90, 111, 125, 150, 185, 222, 225, 250, 333, 370, 375, 450, 555, 666, 750, 925, 1110, 1125, 1665, 1850, 2250, 2775, 3330, 4625, 5550, 8325, 9250, 13875, 16650, 27750, 41625

Step-4: Factors of 83269

List of positive integer factors of 83269 that divides 83250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83250 and 83269. The biggest common factor number is the GCF number.
So the greatest common factor 83250 and 83269 is 1.

Also check out the Least Common Multiple of 83250 and 83269