What is the Greatest Common Factor of 80403 and 80415?

Greatest common factor (GCF) of 80403 and 80415 is 3.

GCF(80403,80415) = 3

We will now calculate the prime factors of 80403 and 80415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80403 and 80415.

How to find the GCF of 80403 and 80415?

We will first find the prime factorization of 80403 and 80415. After we will calculate the factors of 80403 and 80415 and find the biggest common factor number .

Step-1: Prime Factorization of 80403

Prime factors of 80403 are 3, 26801. Prime factorization of 80403 in exponential form is:

80403 = 3¹ × 26801¹

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 80403

List of positive integer factors of 80403 that divides 80403 without a remainder.

1, 3, 26801

Step-4: Factors of 80415

List of positive integer factors of 80415 that divides 80403 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 80403 and 80415. The biggest common factor number is the GCF number.
So the greatest common factor 80403 and 80415 is 3.

Also check out the Least Common Multiple of 80403 and 80415