What is the Greatest Common Factor of 90220 and 90229?

Greatest common factor (GCF) of 90220 and 90229 is 1.

GCF(90220,90229) = 1

We will now calculate the prime factors of 90220 and 90229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90220 and 90229.

How to find the GCF of 90220 and 90229?

We will first find the prime factorization of 90220 and 90229. After we will calculate the factors of 90220 and 90229 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 90229

Prime factors of 90229 are 23, 3923. Prime factorization of 90229 in exponential form is:

90229 = 23¹ × 3923¹

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 90229

List of positive integer factors of 90229 that divides 90220 without a remainder.

1, 23, 3923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90220 and 90229. The biggest common factor number is the GCF number.
So the greatest common factor 90220 and 90229 is 1.

Also check out the Least Common Multiple of 90220 and 90229