What is the Greatest Common Factor of 68003 and 68014?

Greatest common factor (GCF) of 68003 and 68014 is 1.

GCF(68003,68014) = 1

We will now calculate the prime factors of 68003 and 68014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68003 and 68014.

How to find the GCF of 68003 and 68014?

We will first find the prime factorization of 68003 and 68014. After we will calculate the factors of 68003 and 68014 and find the biggest common factor number .

Step-1: Prime Factorization of 68003

Prime factors of 68003 are 13, 5231. Prime factorization of 68003 in exponential form is:

68003 = 13¹ × 5231¹

Step-2: 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-3: Factors of 68003

List of positive integer factors of 68003 that divides 68003 without a remainder.

1, 13, 5231

Step-4: Factors of 68014

List of positive integer factors of 68014 that divides 68003 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68003 and 68014. The biggest common factor number is the GCF number.
So the greatest common factor 68003 and 68014 is 1.

Also check out the Least Common Multiple of 68003 and 68014