What is the Greatest Common Factor of 50463 and 50478?

Greatest common factor (GCF) of 50463 and 50478 is 3.

GCF(50463,50478) = 3

We will now calculate the prime factors of 50463 and 50478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50463 and 50478.

How to find the GCF of 50463 and 50478?

We will first find the prime factorization of 50463 and 50478. After we will calculate the factors of 50463 and 50478 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50478

Prime factors of 50478 are 2, 3, 47, 179. Prime factorization of 50478 in exponential form is:

50478 = 2¹ × 3¹ × 47¹ × 179¹

Step-3: Factors of 50463

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

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

Step-4: Factors of 50478

List of positive integer factors of 50478 that divides 50463 without a remainder.

1, 2, 3, 6, 47, 94, 141, 179, 282, 358, 537, 1074, 8413, 16826, 25239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50463 and 50478. The biggest common factor number is the GCF number.
So the greatest common factor 50463 and 50478 is 3.

Also check out the Least Common Multiple of 50463 and 50478