What is the Greatest Common Factor of 80003 and 80014?

Greatest common factor (GCF) of 80003 and 80014 is 11.

GCF(80003,80014) = 11

We will now calculate the prime factors of 80003 and 80014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80003 and 80014.

How to find the GCF of 80003 and 80014?

We will first find the prime factorization of 80003 and 80014. After we will calculate the factors of 80003 and 80014 and find the biggest common factor number .

Step-1: Prime Factorization of 80003

Prime factors of 80003 are 7, 11, 1039. Prime factorization of 80003 in exponential form is:

80003 = 7¹ × 11¹ × 1039¹

Step-2: Prime Factorization of 80014

Prime factors of 80014 are 2, 11, 3637. Prime factorization of 80014 in exponential form is:

80014 = 2¹ × 11¹ × 3637¹

Step-3: Factors of 80003

List of positive integer factors of 80003 that divides 80003 without a remainder.

1, 7, 11, 77, 1039, 7273, 11429

Step-4: Factors of 80014

List of positive integer factors of 80014 that divides 80003 without a remainder.

1, 2, 11, 22, 3637, 7274, 40007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80003 and 80014. The biggest common factor number is the GCF number.
So the greatest common factor 80003 and 80014 is 11.

Also check out the Least Common Multiple of 80003 and 80014