What is the Greatest Common Factor of 90094 and 90106?

Greatest common factor (GCF) of 90094 and 90106 is 2.

GCF(90094,90106) = 2

We will now calculate the prime factors of 90094 and 90106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90094 and 90106.

How to find the GCF of 90094 and 90106?

We will first find the prime factorization of 90094 and 90106. After we will calculate the factors of 90094 and 90106 and find the biggest common factor number .

Step-1: Prime Factorization of 90094

Prime factors of 90094 are 2, 107, 421. Prime factorization of 90094 in exponential form is:

90094 = 2¹ × 107¹ × 421¹

Step-2: Prime Factorization of 90106

Prime factors of 90106 are 2, 45053. Prime factorization of 90106 in exponential form is:

90106 = 2¹ × 45053¹

Step-3: Factors of 90094

List of positive integer factors of 90094 that divides 90094 without a remainder.

1, 2, 107, 214, 421, 842, 45047

Step-4: Factors of 90106

List of positive integer factors of 90106 that divides 90094 without a remainder.

1, 2, 45053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90094 and 90106. The biggest common factor number is the GCF number.
So the greatest common factor 90094 and 90106 is 2.

Also check out the Least Common Multiple of 90094 and 90106