What is the Greatest Common Factor of 32606 and 32622?

Greatest common factor (GCF) of 32606 and 32622 is 2.

GCF(32606,32622) = 2

We will now calculate the prime factors of 32606 and 32622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32606 and 32622.

How to find the GCF of 32606 and 32622?

We will first find the prime factorization of 32606 and 32622. After we will calculate the factors of 32606 and 32622 and find the biggest common factor number .

Step-1: Prime Factorization of 32606

Prime factors of 32606 are 2, 7, 17, 137. Prime factorization of 32606 in exponential form is:

32606 = 2¹ × 7¹ × 17¹ × 137¹

Step-2: Prime Factorization of 32622

Prime factors of 32622 are 2, 3, 5437. Prime factorization of 32622 in exponential form is:

32622 = 2¹ × 3¹ × 5437¹

Step-3: Factors of 32606

List of positive integer factors of 32606 that divides 32606 without a remainder.

1, 2, 7, 14, 17, 34, 119, 137, 238, 274, 959, 1918, 2329, 4658, 16303

Step-4: Factors of 32622

List of positive integer factors of 32622 that divides 32606 without a remainder.

1, 2, 3, 6, 5437, 10874, 16311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32606 and 32622. The biggest common factor number is the GCF number.
So the greatest common factor 32606 and 32622 is 2.

Also check out the Least Common Multiple of 32606 and 32622