What is the Greatest Common Factor of 80250 and 80255?

Greatest common factor (GCF) of 80250 and 80255 is 5.

GCF(80250,80255) = 5

We will now calculate the prime factors of 80250 and 80255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80250 and 80255.

How to find the GCF of 80250 and 80255?

We will first find the prime factorization of 80250 and 80255. After we will calculate the factors of 80250 and 80255 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 80255

Prime factors of 80255 are 5, 7, 2293. Prime factorization of 80255 in exponential form is:

80255 = 5¹ × 7¹ × 2293¹

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 80255

List of positive integer factors of 80255 that divides 80250 without a remainder.

1, 5, 7, 35, 2293, 11465, 16051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80250 and 80255. The biggest common factor number is the GCF number.
So the greatest common factor 80250 and 80255 is 5.

Also check out the Least Common Multiple of 80250 and 80255