What is the Greatest Common Factor of 32240 and 32258?

Greatest common factor (GCF) of 32240 and 32258 is 2.

GCF(32240,32258) = 2

We will now calculate the prime factors of 32240 and 32258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32240 and 32258.

How to find the GCF of 32240 and 32258?

We will first find the prime factorization of 32240 and 32258. After we will calculate the factors of 32240 and 32258 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 32258

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

32258 = 2¹ × 127²

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 32258

List of positive integer factors of 32258 that divides 32240 without a remainder.

1, 2, 127, 254, 16129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32240 and 32258. The biggest common factor number is the GCF number.
So the greatest common factor 32240 and 32258 is 2.

Also check out the Least Common Multiple of 32240 and 32258