What is the Greatest Common Factor of 32496 and 32506?

Greatest common factor (GCF) of 32496 and 32506 is 2.

GCF(32496,32506) = 2

We will now calculate the prime factors of 32496 and 32506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32496 and 32506.

How to find the GCF of 32496 and 32506?

We will first find the prime factorization of 32496 and 32506. After we will calculate the factors of 32496 and 32506 and find the biggest common factor number .

Step-1: Prime Factorization of 32496

Prime factors of 32496 are 2, 3, 677. Prime factorization of 32496 in exponential form is:

32496 = 2⁴ × 3¹ × 677¹

Step-2: Prime Factorization of 32506

Prime factors of 32506 are 2, 16253. Prime factorization of 32506 in exponential form is:

32506 = 2¹ × 16253¹

Step-3: Factors of 32496

List of positive integer factors of 32496 that divides 32496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 677, 1354, 2031, 2708, 4062, 5416, 8124, 10832, 16248

Step-4: Factors of 32506

List of positive integer factors of 32506 that divides 32496 without a remainder.

1, 2, 16253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32496 and 32506. The biggest common factor number is the GCF number.
So the greatest common factor 32496 and 32506 is 2.

Also check out the Least Common Multiple of 32496 and 32506