What is the Greatest Common Factor of 32258 and 32270?

Greatest common factor (GCF) of 32258 and 32270 is 2.

GCF(32258,32270) = 2

We will now calculate the prime factors of 32258 and 32270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32258 and 32270.

How to find the GCF of 32258 and 32270?

We will first find the prime factorization of 32258 and 32270. After we will calculate the factors of 32258 and 32270 and find the biggest common factor number .

Step-1: Prime Factorization of 32258

Prime factors of 32258 are 2, 127. Prime factorization of 32258 in exponential form is:

32258 = 2¹ × 127²

Step-2: Prime Factorization of 32270

Prime factors of 32270 are 2, 5, 7, 461. Prime factorization of 32270 in exponential form is:

32270 = 2¹ × 5¹ × 7¹ × 461¹

Step-3: Factors of 32258

List of positive integer factors of 32258 that divides 32258 without a remainder.

1, 2, 127, 254, 16129

Step-4: Factors of 32270

List of positive integer factors of 32270 that divides 32258 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 461, 922, 2305, 3227, 4610, 6454, 16135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32258 and 32270. The biggest common factor number is the GCF number.
So the greatest common factor 32258 and 32270 is 2.

Also check out the Least Common Multiple of 32258 and 32270