What is the Greatest Common Factor of 90890 and 90908?

Greatest common factor (GCF) of 90890 and 90908 is 2.

GCF(90890,90908) = 2

We will now calculate the prime factors of 90890 and 90908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90890 and 90908.

How to find the GCF of 90890 and 90908?

We will first find the prime factorization of 90890 and 90908. After we will calculate the factors of 90890 and 90908 and find the biggest common factor number .

Step-1: Prime Factorization of 90890

Prime factors of 90890 are 2, 5, 61, 149. Prime factorization of 90890 in exponential form is:

90890 = 2¹ × 5¹ × 61¹ × 149¹

Step-2: Prime Factorization of 90908

Prime factors of 90908 are 2, 22727. Prime factorization of 90908 in exponential form is:

90908 = 2² × 22727¹

Step-3: Factors of 90890

List of positive integer factors of 90890 that divides 90890 without a remainder.

1, 2, 5, 10, 61, 122, 149, 298, 305, 610, 745, 1490, 9089, 18178, 45445

Step-4: Factors of 90908

List of positive integer factors of 90908 that divides 90890 without a remainder.

1, 2, 4, 22727, 45454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90890 and 90908. The biggest common factor number is the GCF number.
So the greatest common factor 90890 and 90908 is 2.

Also check out the Least Common Multiple of 90890 and 90908