What is the Greatest Common Factor of 68448 and 68456?

Greatest common factor (GCF) of 68448 and 68456 is 8.

GCF(68448,68456) = 8

We will now calculate the prime factors of 68448 and 68456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68448 and 68456.

How to find the GCF of 68448 and 68456?

We will first find the prime factorization of 68448 and 68456. After we will calculate the factors of 68448 and 68456 and find the biggest common factor number .

Step-1: Prime Factorization of 68448

Prime factors of 68448 are 2, 3, 23, 31. Prime factorization of 68448 in exponential form is:

68448 = 2⁵ × 3¹ × 23¹ × 31¹

Step-2: Prime Factorization of 68456

Prime factors of 68456 are 2, 43, 199. Prime factorization of 68456 in exponential form is:

68456 = 2³ × 43¹ × 199¹

Step-3: Factors of 68448

List of positive integer factors of 68448 that divides 68448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 32, 46, 48, 62, 69, 92, 93, 96, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 736, 744, 992, 1104, 1426, 1488, 2139, 2208, 2852, 2976, 4278, 5704, 8556, 11408, 17112, 22816, 34224

Step-4: Factors of 68456

List of positive integer factors of 68456 that divides 68448 without a remainder.

1, 2, 4, 8, 43, 86, 172, 199, 344, 398, 796, 1592, 8557, 17114, 34228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68448 and 68456. The biggest common factor number is the GCF number.
So the greatest common factor 68448 and 68456 is 8.

Also check out the Least Common Multiple of 68448 and 68456