What is the Greatest Common Factor of 80250 and 80268?

Greatest common factor (GCF) of 80250 and 80268 is 6.

GCF(80250,80268) = 6

We will now calculate the prime factors of 80250 and 80268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80250 and 80268.

How to find the GCF of 80250 and 80268?

We will first find the prime factorization of 80250 and 80268. After we will calculate the factors of 80250 and 80268 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 80268

Prime factors of 80268 are 2, 3, 6689. Prime factorization of 80268 in exponential form is:

80268 = 2² × 3¹ × 6689¹

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 80268

List of positive integer factors of 80268 that divides 80250 without a remainder.

1, 2, 3, 4, 6, 12, 6689, 13378, 20067, 26756, 40134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80250 and 80268. The biggest common factor number is the GCF number.
So the greatest common factor 80250 and 80268 is 6.

Also check out the Least Common Multiple of 80250 and 80268