What is the Greatest Common Factor of 50249 and 50256?

Greatest common factor (GCF) of 50249 and 50256 is 1.

GCF(50249,50256) = 1

We will now calculate the prime factors of 50249 and 50256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50249 and 50256.

How to find the GCF of 50249 and 50256?

We will first find the prime factorization of 50249 and 50256. After we will calculate the factors of 50249 and 50256 and find the biggest common factor number .

Step-1: Prime Factorization of 50249

Prime factors of 50249 are 109, 461. Prime factorization of 50249 in exponential form is:

50249 = 109¹ × 461¹

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 50249

List of positive integer factors of 50249 that divides 50249 without a remainder.

1, 109, 461

Step-4: Factors of 50256

List of positive integer factors of 50256 that divides 50249 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 50249 and 50256. The biggest common factor number is the GCF number.
So the greatest common factor 50249 and 50256 is 1.

Also check out the Least Common Multiple of 50249 and 50256