What is the Greatest Common Factor of 99264 and 99270?

Greatest common factor (GCF) of 99264 and 99270 is 6.

GCF(99264,99270) = 6

We will now calculate the prime factors of 99264 and 99270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99264 and 99270.

How to find the GCF of 99264 and 99270?

We will first find the prime factorization of 99264 and 99270. After we will calculate the factors of 99264 and 99270 and find the biggest common factor number .

Step-1: Prime Factorization of 99264

Prime factors of 99264 are 2, 3, 11, 47. Prime factorization of 99264 in exponential form is:

99264 = 2⁶ × 3¹ × 11¹ × 47¹

Step-2: 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-3: Factors of 99264

List of positive integer factors of 99264 that divides 99264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 47, 48, 64, 66, 88, 94, 96, 132, 141, 176, 188, 192, 264, 282, 352, 376, 517, 528, 564, 704, 752, 1034, 1056, 1128, 1504, 1551, 2068, 2112, 2256, 3008, 3102, 4136, 4512, 6204, 8272, 9024, 12408, 16544, 24816, 33088, 49632

Step-4: Factors of 99270

List of positive integer factors of 99270 that divides 99264 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99264 and 99270. The biggest common factor number is the GCF number.
So the greatest common factor 99264 and 99270 is 6.

Also check out the Least Common Multiple of 99264 and 99270