What is the Greatest Common Factor of 32240 and 32253?

Greatest common factor (GCF) of 32240 and 32253 is 13.

GCF(32240,32253) = 13

We will now calculate the prime factors of 32240 and 32253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32240 and 32253.

How to find the GCF of 32240 and 32253?

We will first find the prime factorization of 32240 and 32253. After we will calculate the factors of 32240 and 32253 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 32253

Prime factors of 32253 are 3, 13, 827. Prime factorization of 32253 in exponential form is:

32253 = 3¹ × 13¹ × 827¹

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 32253

List of positive integer factors of 32253 that divides 32240 without a remainder.

1, 3, 13, 39, 827, 2481, 10751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32240 and 32253. The biggest common factor number is the GCF number.
So the greatest common factor 32240 and 32253 is 13.

Also check out the Least Common Multiple of 32240 and 32253