What is the Greatest Common Factor of 64214 and 64232?

Greatest common factor (GCF) of 64214 and 64232 is 2.

GCF(64214,64232) = 2

We will now calculate the prime factors of 64214 and 64232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64214 and 64232.

How to find the GCF of 64214 and 64232?

We will first find the prime factorization of 64214 and 64232. After we will calculate the factors of 64214 and 64232 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64232

Prime factors of 64232 are 2, 7, 31, 37. Prime factorization of 64232 in exponential form is:

64232 = 2³ × 7¹ × 31¹ × 37¹

Step-3: Factors of 64214

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

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

Step-4: Factors of 64232

List of positive integer factors of 64232 that divides 64214 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 37, 56, 62, 74, 124, 148, 217, 248, 259, 296, 434, 518, 868, 1036, 1147, 1736, 2072, 2294, 4588, 8029, 9176, 16058, 32116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64214 and 64232. The biggest common factor number is the GCF number.
So the greatest common factor 64214 and 64232 is 2.

Also check out the Least Common Multiple of 64214 and 64232