What is the Greatest Common Factor of 70256 and 70272?

Greatest common factor (GCF) of 70256 and 70272 is 16.

GCF(70256,70272) = 16

We will now calculate the prime factors of 70256 and 70272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70256 and 70272.

How to find the GCF of 70256 and 70272?

We will first find the prime factorization of 70256 and 70272. After we will calculate the factors of 70256 and 70272 and find the biggest common factor number .

Step-1: Prime Factorization of 70256

Prime factors of 70256 are 2, 4391. Prime factorization of 70256 in exponential form is:

70256 = 2⁴ × 4391¹

Step-2: 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-3: Factors of 70256

List of positive integer factors of 70256 that divides 70256 without a remainder.

1, 2, 4, 8, 16, 4391, 8782, 17564, 35128

Step-4: Factors of 70272

List of positive integer factors of 70272 that divides 70256 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70256 and 70272. The biggest common factor number is the GCF number.
So the greatest common factor 70256 and 70272 is 16.

Also check out the Least Common Multiple of 70256 and 70272