What is the Greatest Common Factor of 80250 and 80267?

Greatest common factor (GCF) of 80250 and 80267 is 1.

GCF(80250,80267) = 1

We will now calculate the prime factors of 80250 and 80267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80250 and 80267.

How to find the GCF of 80250 and 80267?

We will first find the prime factorization of 80250 and 80267. After we will calculate the factors of 80250 and 80267 and find the biggest common factor number .

Step-1: Prime Factorization of 80250

Prime factors of 80250 are 2, 3, 5, 107. Prime factorization of 80250 in exponential form is:

80250 = 2¹ × 3¹ × 5³ × 107¹

Step-2: Prime Factorization of 80267

Prime factors of 80267 are 11, 7297. Prime factorization of 80267 in exponential form is:

80267 = 11¹ × 7297¹

Step-3: Factors of 80250

List of positive integer factors of 80250 that divides 80250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 107, 125, 150, 214, 250, 321, 375, 535, 642, 750, 1070, 1605, 2675, 3210, 5350, 8025, 13375, 16050, 26750, 40125

Step-4: Factors of 80267

List of positive integer factors of 80267 that divides 80250 without a remainder.

1, 11, 7297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80250 and 80267. The biggest common factor number is the GCF number.
So the greatest common factor 80250 and 80267 is 1.

Also check out the Least Common Multiple of 80250 and 80267