What is the Greatest Common Factor of 68448 and 68455?

Greatest common factor (GCF) of 68448 and 68455 is 1.

GCF(68448,68455) = 1

We will now calculate the prime factors of 68448 and 68455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68448 and 68455.

How to find the GCF of 68448 and 68455?

We will first find the prime factorization of 68448 and 68455. After we will calculate the factors of 68448 and 68455 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 68455

Prime factors of 68455 are 5, 13691. Prime factorization of 68455 in exponential form is:

68455 = 5¹ × 13691¹

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 68455

List of positive integer factors of 68455 that divides 68448 without a remainder.

1, 5, 13691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68448 and 68455. The biggest common factor number is the GCF number.
So the greatest common factor 68448 and 68455 is 1.

Also check out the Least Common Multiple of 68448 and 68455