What is the Greatest Common Factor of 50250 and 50256?

Greatest common factor (GCF) of 50250 and 50256 is 6.

GCF(50250,50256) = 6

We will now calculate the prime factors of 50250 and 50256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50250 and 50256.

How to find the GCF of 50250 and 50256?

We will first find the prime factorization of 50250 and 50256. After we will calculate the factors of 50250 and 50256 and find the biggest common factor number .

Step-1: Prime Factorization of 50250

Prime factors of 50250 are 2, 3, 5, 67. Prime factorization of 50250 in exponential form is:

50250 = 2¹ × 3¹ × 5³ × 67¹

Step-2: Prime Factorization of 50256

Prime factors of 50256 are 2, 3, 349. Prime factorization of 50256 in exponential form is:

50256 = 2⁴ × 3² × 349¹

Step-3: Factors of 50250

List of positive integer factors of 50250 that divides 50250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 125, 134, 150, 201, 250, 335, 375, 402, 670, 750, 1005, 1675, 2010, 3350, 5025, 8375, 10050, 16750, 25125

Step-4: Factors of 50256

List of positive integer factors of 50256 that divides 50250 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 5584, 6282, 8376, 12564, 16752, 25128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50250 and 50256. The biggest common factor number is the GCF number.
So the greatest common factor 50250 and 50256 is 6.

Also check out the Least Common Multiple of 50250 and 50256