What is the Greatest Common Factor of 54440 and 54450?

Greatest common factor (GCF) of 54440 and 54450 is 10.

GCF(54440,54450) = 10

We will now calculate the prime factors of 54440 and 54450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54440 and 54450.

How to find the GCF of 54440 and 54450?

We will first find the prime factorization of 54440 and 54450. After we will calculate the factors of 54440 and 54450 and find the biggest common factor number .

Step-1: Prime Factorization of 54440

Prime factors of 54440 are 2, 5, 1361. Prime factorization of 54440 in exponential form is:

54440 = 2³ × 5¹ × 1361¹

Step-2: 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-3: Factors of 54440

List of positive integer factors of 54440 that divides 54440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1361, 2722, 5444, 6805, 10888, 13610, 27220

Step-4: Factors of 54450

List of positive integer factors of 54450 that divides 54440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54440 and 54450. The biggest common factor number is the GCF number.
So the greatest common factor 54440 and 54450 is 10.

Also check out the Least Common Multiple of 54440 and 54450