What is the Greatest Common Factor of 32270 and 32280?

Greatest common factor (GCF) of 32270 and 32280 is 10.

GCF(32270,32280) = 10

We will now calculate the prime factors of 32270 and 32280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32270 and 32280.

How to find the GCF of 32270 and 32280?

We will first find the prime factorization of 32270 and 32280. After we will calculate the factors of 32270 and 32280 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 32280

Prime factors of 32280 are 2, 3, 5, 269. Prime factorization of 32280 in exponential form is:

32280 = 2³ × 3¹ × 5¹ × 269¹

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 32280

List of positive integer factors of 32280 that divides 32270 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 269, 538, 807, 1076, 1345, 1614, 2152, 2690, 3228, 4035, 5380, 6456, 8070, 10760, 16140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32270 and 32280. The biggest common factor number is the GCF number.
So the greatest common factor 32270 and 32280 is 10.

Also check out the Least Common Multiple of 32270 and 32280