What is the Greatest Common Factor of 32680 and 32698?

Greatest common factor (GCF) of 32680 and 32698 is 2.

GCF(32680,32698) = 2

We will now calculate the prime factors of 32680 and 32698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32680 and 32698.

How to find the GCF of 32680 and 32698?

We will first find the prime factorization of 32680 and 32698. After we will calculate the factors of 32680 and 32698 and find the biggest common factor number .

Step-1: Prime Factorization of 32680

Prime factors of 32680 are 2, 5, 19, 43. Prime factorization of 32680 in exponential form is:

32680 = 2³ × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 32698

Prime factors of 32698 are 2, 16349. Prime factorization of 32698 in exponential form is:

32698 = 2¹ × 16349¹

Step-3: Factors of 32680

List of positive integer factors of 32680 that divides 32680 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 43, 76, 86, 95, 152, 172, 190, 215, 344, 380, 430, 760, 817, 860, 1634, 1720, 3268, 4085, 6536, 8170, 16340

Step-4: Factors of 32698

List of positive integer factors of 32698 that divides 32680 without a remainder.

1, 2, 16349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32680 and 32698. The biggest common factor number is the GCF number.
So the greatest common factor 32680 and 32698 is 2.

Also check out the Least Common Multiple of 32680 and 32698