What is the Greatest Common Factor of 90608 and 90622?

Greatest common factor (GCF) of 90608 and 90622 is 14.

GCF(90608,90622) = 14

We will now calculate the prime factors of 90608 and 90622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90608 and 90622.

How to find the GCF of 90608 and 90622?

We will first find the prime factorization of 90608 and 90622. After we will calculate the factors of 90608 and 90622 and find the biggest common factor number .

Step-1: Prime Factorization of 90608

Prime factors of 90608 are 2, 7, 809. Prime factorization of 90608 in exponential form is:

90608 = 2⁴ × 7¹ × 809¹

Step-2: Prime Factorization of 90622

Prime factors of 90622 are 2, 7, 6473. Prime factorization of 90622 in exponential form is:

90622 = 2¹ × 7¹ × 6473¹

Step-3: Factors of 90608

List of positive integer factors of 90608 that divides 90608 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 809, 1618, 3236, 5663, 6472, 11326, 12944, 22652, 45304

Step-4: Factors of 90622

List of positive integer factors of 90622 that divides 90608 without a remainder.

1, 2, 7, 14, 6473, 12946, 45311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90608 and 90622. The biggest common factor number is the GCF number.
So the greatest common factor 90608 and 90622 is 14.

Also check out the Least Common Multiple of 90608 and 90622