What is the Greatest Common Factor of 64208 and 64214?

Greatest common factor (GCF) of 64208 and 64214 is 2.

GCF(64208,64214) = 2

We will now calculate the prime factors of 64208 and 64214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64208 and 64214.

How to find the GCF of 64208 and 64214?

We will first find the prime factorization of 64208 and 64214. After we will calculate the factors of 64208 and 64214 and find the biggest common factor number .

Step-1: Prime Factorization of 64208

Prime factors of 64208 are 2, 4013. Prime factorization of 64208 in exponential form is:

64208 = 2⁴ × 4013¹

Step-2: Prime Factorization of 64214

Prime factors of 64214 are 2, 97, 331. Prime factorization of 64214 in exponential form is:

64214 = 2¹ × 97¹ × 331¹

Step-3: Factors of 64208

List of positive integer factors of 64208 that divides 64208 without a remainder.

1, 2, 4, 8, 16, 4013, 8026, 16052, 32104

Step-4: Factors of 64214

List of positive integer factors of 64214 that divides 64208 without a remainder.

1, 2, 97, 194, 331, 662, 32107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64208 and 64214. The biggest common factor number is the GCF number.
So the greatest common factor 64208 and 64214 is 2.

Also check out the Least Common Multiple of 64208 and 64214