What is the Greatest Common Factor of 82229 and 82246?

Greatest common factor (GCF) of 82229 and 82246 is 17.

GCF(82229,82246) = 17

We will now calculate the prime factors of 82229 and 82246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82229 and 82246.

How to find the GCF of 82229 and 82246?

We will first find the prime factorization of 82229 and 82246. After we will calculate the factors of 82229 and 82246 and find the biggest common factor number .

Step-1: Prime Factorization of 82229

Prime factors of 82229 are 7, 17, 691. Prime factorization of 82229 in exponential form is:

82229 = 7¹ × 17¹ × 691¹

Step-2: Prime Factorization of 82246

Prime factors of 82246 are 2, 17, 41, 59. Prime factorization of 82246 in exponential form is:

82246 = 2¹ × 17¹ × 41¹ × 59¹

Step-3: Factors of 82229

List of positive integer factors of 82229 that divides 82229 without a remainder.

1, 7, 17, 119, 691, 4837, 11747

Step-4: Factors of 82246

List of positive integer factors of 82246 that divides 82229 without a remainder.

1, 2, 17, 34, 41, 59, 82, 118, 697, 1003, 1394, 2006, 2419, 4838, 41123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82229 and 82246. The biggest common factor number is the GCF number.
So the greatest common factor 82229 and 82246 is 17.

Also check out the Least Common Multiple of 82229 and 82246