What is the Greatest Common Factor of 68448 and 68457?

Greatest common factor (GCF) of 68448 and 68457 is 3.

GCF(68448,68457) = 3

We will now calculate the prime factors of 68448 and 68457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68448 and 68457.

How to find the GCF of 68448 and 68457?

We will first find the prime factorization of 68448 and 68457. After we will calculate the factors of 68448 and 68457 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 68457

Prime factors of 68457 are 3, 19, 1201. Prime factorization of 68457 in exponential form is:

68457 = 3¹ × 19¹ × 1201¹

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 68457

List of positive integer factors of 68457 that divides 68448 without a remainder.

1, 3, 19, 57, 1201, 3603, 22819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68448 and 68457. The biggest common factor number is the GCF number.
So the greatest common factor 68448 and 68457 is 3.

Also check out the Least Common Multiple of 68448 and 68457