What is the Greatest Common Factor of 90224 and 90230?

Greatest common factor (GCF) of 90224 and 90230 is 2.

GCF(90224,90230) = 2

We will now calculate the prime factors of 90224 and 90230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90224 and 90230.

How to find the GCF of 90224 and 90230?

We will first find the prime factorization of 90224 and 90230. After we will calculate the factors of 90224 and 90230 and find the biggest common factor number .

Step-1: Prime Factorization of 90224

Prime factors of 90224 are 2, 5639. Prime factorization of 90224 in exponential form is:

90224 = 2⁴ × 5639¹

Step-2: Prime Factorization of 90230

Prime factors of 90230 are 2, 5, 7, 1289. Prime factorization of 90230 in exponential form is:

90230 = 2¹ × 5¹ × 7¹ × 1289¹

Step-3: Factors of 90224

List of positive integer factors of 90224 that divides 90224 without a remainder.

1, 2, 4, 8, 16, 5639, 11278, 22556, 45112

Step-4: Factors of 90230

List of positive integer factors of 90230 that divides 90224 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1289, 2578, 6445, 9023, 12890, 18046, 45115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90224 and 90230. The biggest common factor number is the GCF number.
So the greatest common factor 90224 and 90230 is 2.

Also check out the Least Common Multiple of 90224 and 90230