What is the Greatest Common Factor of 50457 and 50463?

Greatest common factor (GCF) of 50457 and 50463 is 3.

GCF(50457,50463) = 3

We will now calculate the prime factors of 50457 and 50463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50457 and 50463.

How to find the GCF of 50457 and 50463?

We will first find the prime factorization of 50457 and 50463. After we will calculate the factors of 50457 and 50463 and find the biggest common factor number .

Step-1: Prime Factorization of 50457

Prime factors of 50457 are 3, 11, 139. Prime factorization of 50457 in exponential form is:

50457 = 3¹ × 11² × 139¹

Step-2: Prime Factorization of 50463

Prime factors of 50463 are 3, 7, 89. Prime factorization of 50463 in exponential form is:

50463 = 3⁴ × 7¹ × 89¹

Step-3: Factors of 50457

List of positive integer factors of 50457 that divides 50457 without a remainder.

1, 3, 11, 33, 121, 139, 363, 417, 1529, 4587, 16819

Step-4: Factors of 50463

List of positive integer factors of 50463 that divides 50457 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 89, 189, 267, 567, 623, 801, 1869, 2403, 5607, 7209, 16821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50457 and 50463. The biggest common factor number is the GCF number.
So the greatest common factor 50457 and 50463 is 3.

Also check out the Least Common Multiple of 50457 and 50463