What is the Greatest Common Factor of 68014 and 68032?

Greatest common factor (GCF) of 68014 and 68032 is 2.

GCF(68014,68032) = 2

We will now calculate the prime factors of 68014 and 68032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68014 and 68032.

How to find the GCF of 68014 and 68032?

We will first find the prime factorization of 68014 and 68032. After we will calculate the factors of 68014 and 68032 and find the biggest common factor number .

Step-1: Prime Factorization of 68014

Prime factors of 68014 are 2, 31, 1097. Prime factorization of 68014 in exponential form is:

68014 = 2¹ × 31¹ × 1097¹

Step-2: Prime Factorization of 68032

Prime factors of 68032 are 2, 1063. Prime factorization of 68032 in exponential form is:

68032 = 2⁶ × 1063¹

Step-3: Factors of 68014

List of positive integer factors of 68014 that divides 68014 without a remainder.

1, 2, 31, 62, 1097, 2194, 34007

Step-4: Factors of 68032

List of positive integer factors of 68032 that divides 68014 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1063, 2126, 4252, 8504, 17008, 34016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68014 and 68032. The biggest common factor number is the GCF number.
So the greatest common factor 68014 and 68032 is 2.

Also check out the Least Common Multiple of 68014 and 68032