What is the Greatest Common Factor of 80185 and 80204?

Greatest common factor (GCF) of 80185 and 80204 is 1.

GCF(80185,80204) = 1

We will now calculate the prime factors of 80185 and 80204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80185 and 80204.

How to find the GCF of 80185 and 80204?

We will first find the prime factorization of 80185 and 80204. After we will calculate the factors of 80185 and 80204 and find the biggest common factor number .

Step-1: Prime Factorization of 80185

Prime factors of 80185 are 5, 7, 29, 79. Prime factorization of 80185 in exponential form is:

80185 = 5¹ × 7¹ × 29¹ × 79¹

Step-2: Prime Factorization of 80204

Prime factors of 80204 are 2, 20051. Prime factorization of 80204 in exponential form is:

80204 = 2² × 20051¹

Step-3: Factors of 80185

List of positive integer factors of 80185 that divides 80185 without a remainder.

1, 5, 7, 29, 35, 79, 145, 203, 395, 553, 1015, 2291, 2765, 11455, 16037

Step-4: Factors of 80204

List of positive integer factors of 80204 that divides 80185 without a remainder.

1, 2, 4, 20051, 40102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80185 and 80204. The biggest common factor number is the GCF number.
So the greatest common factor 80185 and 80204 is 1.

Also check out the Least Common Multiple of 80185 and 80204