What is the Greatest Common Factor of 68448 and 68463?

Greatest common factor (GCF) of 68448 and 68463 is 3.

GCF(68448,68463) = 3

We will now calculate the prime factors of 68448 and 68463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68448 and 68463.

How to find the GCF of 68448 and 68463?

We will first find the prime factorization of 68448 and 68463. After we will calculate the factors of 68448 and 68463 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 68463

Prime factors of 68463 are 3, 7607. Prime factorization of 68463 in exponential form is:

68463 = 3² × 7607¹

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 68463

List of positive integer factors of 68463 that divides 68448 without a remainder.

1, 3, 9, 7607, 22821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68448 and 68463. The biggest common factor number is the GCF number.
So the greatest common factor 68448 and 68463 is 3.

Also check out the Least Common Multiple of 68448 and 68463