What is the Greatest Common Factor of 82185 and 82202?

Greatest common factor (GCF) of 82185 and 82202 is 1.

GCF(82185,82202) = 1

We will now calculate the prime factors of 82185 and 82202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82185 and 82202.

How to find the GCF of 82185 and 82202?

We will first find the prime factorization of 82185 and 82202. After we will calculate the factors of 82185 and 82202 and find the biggest common factor number .

Step-1: Prime Factorization of 82185

Prime factors of 82185 are 3, 5, 5479. Prime factorization of 82185 in exponential form is:

82185 = 3¹ × 5¹ × 5479¹

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 82185

List of positive integer factors of 82185 that divides 82185 without a remainder.

1, 3, 5, 15, 5479, 16437, 27395

Step-4: Factors of 82202

List of positive integer factors of 82202 that divides 82185 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82185 and 82202. The biggest common factor number is the GCF number.
So the greatest common factor 82185 and 82202 is 1.

Also check out the Least Common Multiple of 82185 and 82202