What is the Greatest Common Factor of 54450 and 54460?

Greatest common factor (GCF) of 54450 and 54460 is 10.

GCF(54450,54460) = 10

We will now calculate the prime factors of 54450 and 54460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54450 and 54460.

How to find the GCF of 54450 and 54460?

We will first find the prime factorization of 54450 and 54460. After we will calculate the factors of 54450 and 54460 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 54460

Prime factors of 54460 are 2, 5, 7, 389. Prime factorization of 54460 in exponential form is:

54460 = 2² × 5¹ × 7¹ × 389¹

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 54460

List of positive integer factors of 54460 that divides 54450 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 389, 778, 1556, 1945, 2723, 3890, 5446, 7780, 10892, 13615, 27230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54450 and 54460. The biggest common factor number is the GCF number.
So the greatest common factor 54450 and 54460 is 10.

Also check out the Least Common Multiple of 54450 and 54460