What is the Greatest Common Factor of 82722 and 82739?

Greatest common factor (GCF) of 82722 and 82739 is 17.

GCF(82722,82739) = 17

We will now calculate the prime factors of 82722 and 82739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82722 and 82739.

How to find the GCF of 82722 and 82739?

We will first find the prime factorization of 82722 and 82739. After we will calculate the factors of 82722 and 82739 and find the biggest common factor number .

Step-1: Prime Factorization of 82722

Prime factors of 82722 are 2, 3, 17, 811. Prime factorization of 82722 in exponential form is:

82722 = 2¹ × 3¹ × 17¹ × 811¹

Step-2: Prime Factorization of 82739

Prime factors of 82739 are 17, 31, 157. Prime factorization of 82739 in exponential form is:

82739 = 17¹ × 31¹ × 157¹

Step-3: Factors of 82722

List of positive integer factors of 82722 that divides 82722 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 811, 1622, 2433, 4866, 13787, 27574, 41361

Step-4: Factors of 82739

List of positive integer factors of 82739 that divides 82722 without a remainder.

1, 17, 31, 157, 527, 2669, 4867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82722 and 82739. The biggest common factor number is the GCF number.
So the greatest common factor 82722 and 82739 is 17.

Also check out the Least Common Multiple of 82722 and 82739