What is the Greatest Common Factor of 80250 and 80256?

Greatest common factor (GCF) of 80250 and 80256 is 6.

GCF(80250,80256) = 6

We will now calculate the prime factors of 80250 and 80256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80250 and 80256.

How to find the GCF of 80250 and 80256?

We will first find the prime factorization of 80250 and 80256. After we will calculate the factors of 80250 and 80256 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 80256

Prime factors of 80256 are 2, 3, 11, 19. Prime factorization of 80256 in exponential form is:

80256 = 2⁷ × 3¹ × 11¹ × 19¹

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 80256

List of positive integer factors of 80256 that divides 80250 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44, 48, 57, 64, 66, 76, 88, 96, 114, 128, 132, 152, 176, 192, 209, 228, 264, 304, 352, 384, 418, 456, 528, 608, 627, 704, 836, 912, 1056, 1216, 1254, 1408, 1672, 1824, 2112, 2432, 2508, 3344, 3648, 4224, 5016, 6688, 7296, 10032, 13376, 20064, 26752, 40128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80250 and 80256. The biggest common factor number is the GCF number.
So the greatest common factor 80250 and 80256 is 6.

Also check out the Least Common Multiple of 80250 and 80256