What is the Greatest Common Factor of 54240 and 54250?

Greatest common factor (GCF) of 54240 and 54250 is 10.

GCF(54240,54250) = 10

We will now calculate the prime factors of 54240 and 54250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54240 and 54250.

How to find the GCF of 54240 and 54250?

We will first find the prime factorization of 54240 and 54250. After we will calculate the factors of 54240 and 54250 and find the biggest common factor number .

Step-1: Prime Factorization of 54240

Prime factors of 54240 are 2, 3, 5, 113. Prime factorization of 54240 in exponential form is:

54240 = 2⁵ × 3¹ × 5¹ × 113¹

Step-2: Prime Factorization of 54250

Prime factors of 54250 are 2, 5, 7, 31. Prime factorization of 54250 in exponential form is:

54250 = 2¹ × 5³ × 7¹ × 31¹

Step-3: Factors of 54240

List of positive integer factors of 54240 that divides 54240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 113, 120, 160, 226, 240, 339, 452, 480, 565, 678, 904, 1130, 1356, 1695, 1808, 2260, 2712, 3390, 3616, 4520, 5424, 6780, 9040, 10848, 13560, 18080, 27120

Step-4: Factors of 54250

List of positive integer factors of 54250 that divides 54240 without a remainder.

1, 2, 5, 7, 10, 14, 25, 31, 35, 50, 62, 70, 125, 155, 175, 217, 250, 310, 350, 434, 775, 875, 1085, 1550, 1750, 2170, 3875, 5425, 7750, 10850, 27125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54240 and 54250. The biggest common factor number is the GCF number.
So the greatest common factor 54240 and 54250 is 10.

Also check out the Least Common Multiple of 54240 and 54250