What is the Greatest Common Factor of 32240 and 32255?

Greatest common factor (GCF) of 32240 and 32255 is 5.

GCF(32240,32255) = 5

We will now calculate the prime factors of 32240 and 32255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32240 and 32255.

How to find the GCF of 32240 and 32255?

We will first find the prime factorization of 32240 and 32255. After we will calculate the factors of 32240 and 32255 and find the biggest common factor number .

Step-1: Prime Factorization of 32240

Prime factors of 32240 are 2, 5, 13, 31. Prime factorization of 32240 in exponential form is:

32240 = 2⁴ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 32255

Prime factors of 32255 are 5, 6451. Prime factorization of 32255 in exponential form is:

32255 = 5¹ × 6451¹

Step-3: Factors of 32240

List of positive integer factors of 32240 that divides 32240 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 40, 52, 62, 65, 80, 104, 124, 130, 155, 208, 248, 260, 310, 403, 496, 520, 620, 806, 1040, 1240, 1612, 2015, 2480, 3224, 4030, 6448, 8060, 16120

Step-4: Factors of 32255

List of positive integer factors of 32255 that divides 32240 without a remainder.

1, 5, 6451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32240 and 32255. The biggest common factor number is the GCF number.
So the greatest common factor 32240 and 32255 is 5.

Also check out the Least Common Multiple of 32240 and 32255