What is the Greatest Common Factor of 99270 and 99288?

Greatest common factor (GCF) of 99270 and 99288 is 18.

GCF(99270,99288) = 18

We will now calculate the prime factors of 99270 and 99288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99270 and 99288.

How to find the GCF of 99270 and 99288?

We will first find the prime factorization of 99270 and 99288. After we will calculate the factors of 99270 and 99288 and find the biggest common factor number .

Step-1: Prime Factorization of 99270

Prime factors of 99270 are 2, 3, 5, 1103. Prime factorization of 99270 in exponential form is:

99270 = 2¹ × 3² × 5¹ × 1103¹

Step-2: Prime Factorization of 99288

Prime factors of 99288 are 2, 3, 7, 197. Prime factorization of 99288 in exponential form is:

99288 = 2³ × 3² × 7¹ × 197¹

Step-3: Factors of 99270

List of positive integer factors of 99270 that divides 99270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1103, 2206, 3309, 5515, 6618, 9927, 11030, 16545, 19854, 33090, 49635

Step-4: Factors of 99288

List of positive integer factors of 99288 that divides 99270 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 197, 252, 394, 504, 591, 788, 1182, 1379, 1576, 1773, 2364, 2758, 3546, 4137, 4728, 5516, 7092, 8274, 11032, 12411, 14184, 16548, 24822, 33096, 49644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99270 and 99288. The biggest common factor number is the GCF number.
So the greatest common factor 99270 and 99288 is 18.

Also check out the Least Common Multiple of 99270 and 99288