What is the Greatest Common Factor of 54214 and 54223?

Greatest common factor (GCF) of 54214 and 54223 is 1.

GCF(54214,54223) = 1

We will now calculate the prime factors of 54214 and 54223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54214 and 54223.

How to find the GCF of 54214 and 54223?

We will first find the prime factorization of 54214 and 54223. After we will calculate the factors of 54214 and 54223 and find the biggest common factor number .

Step-1: Prime Factorization of 54214

Prime factors of 54214 are 2, 27107. Prime factorization of 54214 in exponential form is:

54214 = 2¹ × 27107¹

Step-2: Prime Factorization of 54223

Prime factors of 54223 are 13, 43, 97. Prime factorization of 54223 in exponential form is:

54223 = 13¹ × 43¹ × 97¹

Step-3: Factors of 54214

List of positive integer factors of 54214 that divides 54214 without a remainder.

1, 2, 27107

Step-4: Factors of 54223

List of positive integer factors of 54223 that divides 54214 without a remainder.

1, 13, 43, 97, 559, 1261, 4171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54214 and 54223. The biggest common factor number is the GCF number.
So the greatest common factor 54214 and 54223 is 1.

Also check out the Least Common Multiple of 54214 and 54223