What is the Greatest Common Factor of 90220 and 90230?

Greatest common factor (GCF) of 90220 and 90230 is 10.

GCF(90220,90230) = 10

We will now calculate the prime factors of 90220 and 90230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90220 and 90230.

How to find the GCF of 90220 and 90230?

We will first find the prime factorization of 90220 and 90230. After we will calculate the factors of 90220 and 90230 and find the biggest common factor number .

Step-1: Prime Factorization of 90220

Prime factors of 90220 are 2, 5, 13, 347. Prime factorization of 90220 in exponential form is:

90220 = 2² × 5¹ × 13¹ × 347¹

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 90220

List of positive integer factors of 90220 that divides 90220 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 347, 694, 1388, 1735, 3470, 4511, 6940, 9022, 18044, 22555, 45110

Step-4: Factors of 90230

List of positive integer factors of 90230 that divides 90220 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 90220 and 90230. The biggest common factor number is the GCF number.
So the greatest common factor 90220 and 90230 is 10.

Also check out the Least Common Multiple of 90220 and 90230