What is the Greatest Common Factor of 32270 and 32290?

Greatest common factor (GCF) of 32270 and 32290 is 10.

GCF(32270,32290) = 10

We will now calculate the prime factors of 32270 and 32290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32270 and 32290.

How to find the GCF of 32270 and 32290?

We will first find the prime factorization of 32270 and 32290. After we will calculate the factors of 32270 and 32290 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 32290

Prime factors of 32290 are 2, 5, 3229. Prime factorization of 32290 in exponential form is:

32290 = 2¹ × 5¹ × 3229¹

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 32290

List of positive integer factors of 32290 that divides 32270 without a remainder.

1, 2, 5, 10, 3229, 6458, 16145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32270 and 32290. The biggest common factor number is the GCF number.
So the greatest common factor 32270 and 32290 is 10.

Also check out the Least Common Multiple of 32270 and 32290