What is the Greatest Common Factor of 82202 and 82206?

Greatest common factor (GCF) of 82202 and 82206 is 2.

GCF(82202,82206) = 2

We will now calculate the prime factors of 82202 and 82206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82202 and 82206.

How to find the GCF of 82202 and 82206?

We will first find the prime factorization of 82202 and 82206. After we will calculate the factors of 82202 and 82206 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82206

Prime factors of 82206 are 2, 3, 4567. Prime factorization of 82206 in exponential form is:

82206 = 2¹ × 3² × 4567¹

Step-3: Factors of 82202

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

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

Step-4: Factors of 82206

List of positive integer factors of 82206 that divides 82202 without a remainder.

1, 2, 3, 6, 9, 18, 4567, 9134, 13701, 27402, 41103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82202 and 82206. The biggest common factor number is the GCF number.
So the greatest common factor 82202 and 82206 is 2.

Also check out the Least Common Multiple of 82202 and 82206