What is the Greatest Common Factor of 67205 and 67214?

Greatest common factor (GCF) of 67205 and 67214 is 1.

GCF(67205,67214) = 1

We will now calculate the prime factors of 67205 and 67214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67205 and 67214.

How to find the GCF of 67205 and 67214?

We will first find the prime factorization of 67205 and 67214. After we will calculate the factors of 67205 and 67214 and find the biggest common factor number .

Step-1: Prime Factorization of 67205

Prime factors of 67205 are 5, 13441. Prime factorization of 67205 in exponential form is:

67205 = 5¹ × 13441¹

Step-2: Prime Factorization of 67214

Prime factors of 67214 are 2, 7, 4801. Prime factorization of 67214 in exponential form is:

67214 = 2¹ × 7¹ × 4801¹

Step-3: Factors of 67205

List of positive integer factors of 67205 that divides 67205 without a remainder.

1, 5, 13441

Step-4: Factors of 67214

List of positive integer factors of 67214 that divides 67205 without a remainder.

1, 2, 7, 14, 4801, 9602, 33607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67205 and 67214. The biggest common factor number is the GCF number.
So the greatest common factor 67205 and 67214 is 1.

Also check out the Least Common Multiple of 67205 and 67214