What is the Greatest Common Factor of 32270 and 32276?

Greatest common factor (GCF) of 32270 and 32276 is 2.

GCF(32270,32276) = 2

We will now calculate the prime factors of 32270 and 32276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32270 and 32276.

How to find the GCF of 32270 and 32276?

We will first find the prime factorization of 32270 and 32276. After we will calculate the factors of 32270 and 32276 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32276

Prime factors of 32276 are 2, 8069. Prime factorization of 32276 in exponential form is:

32276 = 2² × 8069¹

Step-3: Factors of 32270

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

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

Step-4: Factors of 32276

List of positive integer factors of 32276 that divides 32270 without a remainder.

1, 2, 4, 8069, 16138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32270 and 32276. The biggest common factor number is the GCF number.
So the greatest common factor 32270 and 32276 is 2.

Also check out the Least Common Multiple of 32270 and 32276