What is the Greatest Common Factor of 80202 and 80212?

Greatest common factor (GCF) of 80202 and 80212 is 2.

GCF(80202,80212) = 2

We will now calculate the prime factors of 80202 and 80212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80202 and 80212.

How to find the GCF of 80202 and 80212?

We will first find the prime factorization of 80202 and 80212. After we will calculate the factors of 80202 and 80212 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80212

Prime factors of 80212 are 2, 11, 1823. Prime factorization of 80212 in exponential form is:

80212 = 2² × 11¹ × 1823¹

Step-3: Factors of 80202

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

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

Step-4: Factors of 80212

List of positive integer factors of 80212 that divides 80202 without a remainder.

1, 2, 4, 11, 22, 44, 1823, 3646, 7292, 20053, 40106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80202 and 80212. The biggest common factor number is the GCF number.
So the greatest common factor 80202 and 80212 is 2.

Also check out the Least Common Multiple of 80202 and 80212