What is the Greatest Common Factor of 90398 and 90412?

Greatest common factor (GCF) of 90398 and 90412 is 14.

GCF(90398,90412) = 14

We will now calculate the prime factors of 90398 and 90412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90398 and 90412.

How to find the GCF of 90398 and 90412?

We will first find the prime factorization of 90398 and 90412. After we will calculate the factors of 90398 and 90412 and find the biggest common factor number .

Step-1: Prime Factorization of 90398

Prime factors of 90398 are 2, 7, 11, 587. Prime factorization of 90398 in exponential form is:

90398 = 2¹ × 7¹ × 11¹ × 587¹

Step-2: Prime Factorization of 90412

Prime factors of 90412 are 2, 7, 3229. Prime factorization of 90412 in exponential form is:

90412 = 2² × 7¹ × 3229¹

Step-3: Factors of 90398

List of positive integer factors of 90398 that divides 90398 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 587, 1174, 4109, 6457, 8218, 12914, 45199

Step-4: Factors of 90412

List of positive integer factors of 90412 that divides 90398 without a remainder.

1, 2, 4, 7, 14, 28, 3229, 6458, 12916, 22603, 45206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90398 and 90412. The biggest common factor number is the GCF number.
So the greatest common factor 90398 and 90412 is 14.

Also check out the Least Common Multiple of 90398 and 90412