What is the Greatest Common Factor of 67214 and 67234?

Greatest common factor (GCF) of 67214 and 67234 is 2.

GCF(67214,67234) = 2

We will now calculate the prime factors of 67214 and 67234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67214 and 67234.

How to find the GCF of 67214 and 67234?

We will first find the prime factorization of 67214 and 67234. After we will calculate the factors of 67214 and 67234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67234

Prime factors of 67234 are 2, 33617. Prime factorization of 67234 in exponential form is:

67234 = 2¹ × 33617¹

Step-3: Factors of 67214

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

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

Step-4: Factors of 67234

List of positive integer factors of 67234 that divides 67214 without a remainder.

1, 2, 33617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67214 and 67234. The biggest common factor number is the GCF number.
So the greatest common factor 67214 and 67234 is 2.

Also check out the Least Common Multiple of 67214 and 67234