What is the Greatest Common Factor of 68416 and 68430?

Greatest common factor (GCF) of 68416 and 68430 is 2.

GCF(68416,68430) = 2

We will now calculate the prime factors of 68416 and 68430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68416 and 68430.

How to find the GCF of 68416 and 68430?

We will first find the prime factorization of 68416 and 68430. After we will calculate the factors of 68416 and 68430 and find the biggest common factor number .

Step-1: Prime Factorization of 68416

Prime factors of 68416 are 2, 1069. Prime factorization of 68416 in exponential form is:

68416 = 2⁶ × 1069¹

Step-2: Prime Factorization of 68430

Prime factors of 68430 are 2, 3, 5, 2281. Prime factorization of 68430 in exponential form is:

68430 = 2¹ × 3¹ × 5¹ × 2281¹

Step-3: Factors of 68416

List of positive integer factors of 68416 that divides 68416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1069, 2138, 4276, 8552, 17104, 34208

Step-4: Factors of 68430

List of positive integer factors of 68430 that divides 68416 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2281, 4562, 6843, 11405, 13686, 22810, 34215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68416 and 68430. The biggest common factor number is the GCF number.
So the greatest common factor 68416 and 68430 is 2.

Also check out the Least Common Multiple of 68416 and 68430