What is the Greatest Common Factor of 32240 and 32260?

Greatest common factor (GCF) of 32240 and 32260 is 20.

GCF(32240,32260) = 20

We will now calculate the prime factors of 32240 and 32260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32240 and 32260.

How to find the GCF of 32240 and 32260?

We will first find the prime factorization of 32240 and 32260. After we will calculate the factors of 32240 and 32260 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 32260

Prime factors of 32260 are 2, 5, 1613. Prime factorization of 32260 in exponential form is:

32260 = 2² × 5¹ × 1613¹

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 32260

List of positive integer factors of 32260 that divides 32240 without a remainder.

1, 2, 4, 5, 10, 20, 1613, 3226, 6452, 8065, 16130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32240 and 32260. The biggest common factor number is the GCF number.
So the greatest common factor 32240 and 32260 is 20.

Also check out the Least Common Multiple of 32240 and 32260