What is the Greatest Common Factor of 80189 and 80202?

Greatest common factor (GCF) of 80189 and 80202 is 1.

GCF(80189,80202) = 1

We will now calculate the prime factors of 80189 and 80202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80189 and 80202.

How to find the GCF of 80189 and 80202?

We will first find the prime factorization of 80189 and 80202. After we will calculate the factors of 80189 and 80202 and find the biggest common factor number .

Step-1: Prime Factorization of 80189

Prime factors of 80189 are 17, 53, 89. Prime factorization of 80189 in exponential form is:

80189 = 17¹ × 53¹ × 89¹

Step-2: Prime Factorization of 80202

Prime factors of 80202 are 2, 3, 13367. Prime factorization of 80202 in exponential form is:

80202 = 2¹ × 3¹ × 13367¹

Step-3: Factors of 80189

List of positive integer factors of 80189 that divides 80189 without a remainder.

1, 17, 53, 89, 901, 1513, 4717

Step-4: Factors of 80202

List of positive integer factors of 80202 that divides 80189 without a remainder.

1, 2, 3, 6, 13367, 26734, 40101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80189 and 80202. The biggest common factor number is the GCF number.
So the greatest common factor 80189 and 80202 is 1.

Also check out the Least Common Multiple of 80189 and 80202