What is the Greatest Common Factor of 70272 and 70288?

Greatest common factor (GCF) of 70272 and 70288 is 16.

GCF(70272,70288) = 16

We will now calculate the prime factors of 70272 and 70288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70272 and 70288.

How to find the GCF of 70272 and 70288?

We will first find the prime factorization of 70272 and 70288. After we will calculate the factors of 70272 and 70288 and find the biggest common factor number .

Step-1: Prime Factorization of 70272

Prime factors of 70272 are 2, 3, 61. Prime factorization of 70272 in exponential form is:

70272 = 2⁷ × 3² × 61¹

Step-2: Prime Factorization of 70288

Prime factors of 70288 are 2, 23, 191. Prime factorization of 70288 in exponential form is:

70288 = 2⁴ × 23¹ × 191¹

Step-3: Factors of 70272

List of positive integer factors of 70272 that divides 70272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 61, 64, 72, 96, 122, 128, 144, 183, 192, 244, 288, 366, 384, 488, 549, 576, 732, 976, 1098, 1152, 1464, 1952, 2196, 2928, 3904, 4392, 5856, 7808, 8784, 11712, 17568, 23424, 35136

Step-4: Factors of 70288

List of positive integer factors of 70288 that divides 70272 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 191, 368, 382, 764, 1528, 3056, 4393, 8786, 17572, 35144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70272 and 70288. The biggest common factor number is the GCF number.
So the greatest common factor 70272 and 70288 is 16.

Also check out the Least Common Multiple of 70272 and 70288