What is the Greatest Common Factor of 80250 and 80269?

Greatest common factor (GCF) of 80250 and 80269 is 1.

GCF(80250,80269) = 1

We will now calculate the prime factors of 80250 and 80269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80250 and 80269.

How to find the GCF of 80250 and 80269?

We will first find the prime factorization of 80250 and 80269. After we will calculate the factors of 80250 and 80269 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 80269

Prime factors of 80269 are 7, 11467. Prime factorization of 80269 in exponential form is:

80269 = 7¹ × 11467¹

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 80269

List of positive integer factors of 80269 that divides 80250 without a remainder.

1, 7, 11467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80250 and 80269. The biggest common factor number is the GCF number.
So the greatest common factor 80250 and 80269 is 1.

Also check out the Least Common Multiple of 80250 and 80269