What is the Greatest Common Factor of 54226 and 54245?

Greatest common factor (GCF) of 54226 and 54245 is 19.

GCF(54226,54245) = 19

We will now calculate the prime factors of 54226 and 54245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54226 and 54245.

How to find the GCF of 54226 and 54245?

We will first find the prime factorization of 54226 and 54245. After we will calculate the factors of 54226 and 54245 and find the biggest common factor number .

Step-1: Prime Factorization of 54226

Prime factors of 54226 are 2, 19, 1427. Prime factorization of 54226 in exponential form is:

54226 = 2¹ × 19¹ × 1427¹

Step-2: Prime Factorization of 54245

Prime factors of 54245 are 5, 19, 571. Prime factorization of 54245 in exponential form is:

54245 = 5¹ × 19¹ × 571¹

Step-3: Factors of 54226

List of positive integer factors of 54226 that divides 54226 without a remainder.

1, 2, 19, 38, 1427, 2854, 27113

Step-4: Factors of 54245

List of positive integer factors of 54245 that divides 54226 without a remainder.

1, 5, 19, 95, 571, 2855, 10849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54226 and 54245. The biggest common factor number is the GCF number.
So the greatest common factor 54226 and 54245 is 19.

Also check out the Least Common Multiple of 54226 and 54245