What is the Greatest Common Factor of 54209 and 54222?

Greatest common factor (GCF) of 54209 and 54222 is 1.

GCF(54209,54222) = 1

We will now calculate the prime factors of 54209 and 54222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54209 and 54222.

How to find the GCF of 54209 and 54222?

We will first find the prime factorization of 54209 and 54222. After we will calculate the factors of 54209 and 54222 and find the biggest common factor number .

Step-1: Prime Factorization of 54209

Prime factors of 54209 are 151, 359. Prime factorization of 54209 in exponential form is:

54209 = 151¹ × 359¹

Step-2: Prime Factorization of 54222

Prime factors of 54222 are 2, 3, 7, 1291. Prime factorization of 54222 in exponential form is:

54222 = 2¹ × 3¹ × 7¹ × 1291¹

Step-3: Factors of 54209

List of positive integer factors of 54209 that divides 54209 without a remainder.

1, 151, 359

Step-4: Factors of 54222

List of positive integer factors of 54222 that divides 54209 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1291, 2582, 3873, 7746, 9037, 18074, 27111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54209 and 54222. The biggest common factor number is the GCF number.
So the greatest common factor 54209 and 54222 is 1.

Also check out the Least Common Multiple of 54209 and 54222