What is the Greatest Common Factor of 54450 and 54463?

Greatest common factor (GCF) of 54450 and 54463 is 1.

GCF(54450,54463) = 1

We will now calculate the prime factors of 54450 and 54463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54450 and 54463.

How to find the GCF of 54450 and 54463?

We will first find the prime factorization of 54450 and 54463. After we will calculate the factors of 54450 and 54463 and find the biggest common factor number .

Step-1: Prime Factorization of 54450

Prime factors of 54450 are 2, 3, 5, 11. Prime factorization of 54450 in exponential form is:

54450 = 2¹ × 3² × 5² × 11²

Step-2: Prime Factorization of 54463

Prime factors of 54463 are 107, 509. Prime factorization of 54463 in exponential form is:

54463 = 107¹ × 509¹

Step-3: Factors of 54450

List of positive integer factors of 54450 that divides 54450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 121, 150, 165, 198, 225, 242, 275, 330, 363, 450, 495, 550, 605, 726, 825, 990, 1089, 1210, 1650, 1815, 2178, 2475, 3025, 3630, 4950, 5445, 6050, 9075, 10890, 18150, 27225

Step-4: Factors of 54463

List of positive integer factors of 54463 that divides 54450 without a remainder.

1, 107, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54450 and 54463. The biggest common factor number is the GCF number.
So the greatest common factor 54450 and 54463 is 1.

Also check out the Least Common Multiple of 54450 and 54463