What is the Greatest Common Factor of 67214 and 67225?

Greatest common factor (GCF) of 67214 and 67225 is 1.

GCF(67214,67225) = 1

We will now calculate the prime factors of 67214 and 67225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67214 and 67225.

How to find the GCF of 67214 and 67225?

We will first find the prime factorization of 67214 and 67225. After we will calculate the factors of 67214 and 67225 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 67225

Prime factors of 67225 are 5, 2689. Prime factorization of 67225 in exponential form is:

67225 = 5² × 2689¹

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 67225

List of positive integer factors of 67225 that divides 67214 without a remainder.

1, 5, 25, 2689, 13445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67214 and 67225. The biggest common factor number is the GCF number.
So the greatest common factor 67214 and 67225 is 1.

Also check out the Least Common Multiple of 67214 and 67225