What is the Greatest Common Factor of 80398 and 80415?

Greatest common factor (GCF) of 80398 and 80415 is 1.

GCF(80398,80415) = 1

We will now calculate the prime factors of 80398 and 80415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80398 and 80415.

How to find the GCF of 80398 and 80415?

We will first find the prime factorization of 80398 and 80415. After we will calculate the factors of 80398 and 80415 and find the biggest common factor number .

Step-1: Prime Factorization of 80398

Prime factors of 80398 are 2, 61, 659. Prime factorization of 80398 in exponential form is:

80398 = 2¹ × 61¹ × 659¹

Step-2: Prime Factorization of 80415

Prime factors of 80415 are 3, 5, 1787. Prime factorization of 80415 in exponential form is:

80415 = 3² × 5¹ × 1787¹

Step-3: Factors of 80398

List of positive integer factors of 80398 that divides 80398 without a remainder.

1, 2, 61, 122, 659, 1318, 40199

Step-4: Factors of 80415

List of positive integer factors of 80415 that divides 80398 without a remainder.

1, 3, 5, 9, 15, 45, 1787, 5361, 8935, 16083, 26805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80398 and 80415. The biggest common factor number is the GCF number.
So the greatest common factor 80398 and 80415 is 1.

Also check out the Least Common Multiple of 80398 and 80415