What is the Greatest Common Factor of 99220 and 99229?

Greatest common factor (GCF) of 99220 and 99229 is 1.

GCF(99220,99229) = 1

We will now calculate the prime factors of 99220 and 99229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99220 and 99229.

How to find the GCF of 99220 and 99229?

We will first find the prime factorization of 99220 and 99229. After we will calculate the factors of 99220 and 99229 and find the biggest common factor number .

Step-1: Prime Factorization of 99220

Prime factors of 99220 are 2, 5, 11, 41. Prime factorization of 99220 in exponential form is:

99220 = 2² × 5¹ × 11² × 41¹

Step-2: Prime Factorization of 99229

Prime factors of 99229 are 13, 17, 449. Prime factorization of 99229 in exponential form is:

99229 = 13¹ × 17¹ × 449¹

Step-3: Factors of 99220

List of positive integer factors of 99220 that divides 99220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 121, 164, 205, 220, 242, 410, 451, 484, 605, 820, 902, 1210, 1804, 2255, 2420, 4510, 4961, 9020, 9922, 19844, 24805, 49610

Step-4: Factors of 99229

List of positive integer factors of 99229 that divides 99220 without a remainder.

1, 13, 17, 221, 449, 5837, 7633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99220 and 99229. The biggest common factor number is the GCF number.
So the greatest common factor 99220 and 99229 is 1.

Also check out the Least Common Multiple of 99220 and 99229