What is the Greatest Common Factor of 82196 and 82202?

Greatest common factor (GCF) of 82196 and 82202 is 2.

GCF(82196,82202) = 2

We will now calculate the prime factors of 82196 and 82202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82196 and 82202.

How to find the GCF of 82196 and 82202?

We will first find the prime factorization of 82196 and 82202. After we will calculate the factors of 82196 and 82202 and find the biggest common factor number .

Step-1: Prime Factorization of 82196

Prime factors of 82196 are 2, 20549. Prime factorization of 82196 in exponential form is:

82196 = 2² × 20549¹

Step-2: Prime Factorization of 82202

Prime factors of 82202 are 2, 23, 1787. Prime factorization of 82202 in exponential form is:

82202 = 2¹ × 23¹ × 1787¹

Step-3: Factors of 82196

List of positive integer factors of 82196 that divides 82196 without a remainder.

1, 2, 4, 20549, 41098

Step-4: Factors of 82202

List of positive integer factors of 82202 that divides 82196 without a remainder.

1, 2, 23, 46, 1787, 3574, 41101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82196 and 82202. The biggest common factor number is the GCF number.
So the greatest common factor 82196 and 82202 is 2.

Also check out the Least Common Multiple of 82196 and 82202