What is the Greatest Common Factor of 32248 and 32262?

Greatest common factor (GCF) of 32248 and 32262 is 2.

GCF(32248,32262) = 2

We will now calculate the prime factors of 32248 and 32262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32248 and 32262.

How to find the GCF of 32248 and 32262?

We will first find the prime factorization of 32248 and 32262. After we will calculate the factors of 32248 and 32262 and find the biggest common factor number .

Step-1: Prime Factorization of 32248

Prime factors of 32248 are 2, 29, 139. Prime factorization of 32248 in exponential form is:

32248 = 2³ × 29¹ × 139¹

Step-2: Prime Factorization of 32262

Prime factors of 32262 are 2, 3, 19, 283. Prime factorization of 32262 in exponential form is:

32262 = 2¹ × 3¹ × 19¹ × 283¹

Step-3: Factors of 32248

List of positive integer factors of 32248 that divides 32248 without a remainder.

1, 2, 4, 8, 29, 58, 116, 139, 232, 278, 556, 1112, 4031, 8062, 16124

Step-4: Factors of 32262

List of positive integer factors of 32262 that divides 32248 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 283, 566, 849, 1698, 5377, 10754, 16131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32248 and 32262. The biggest common factor number is the GCF number.
So the greatest common factor 32248 and 32262 is 2.

Also check out the Least Common Multiple of 32248 and 32262