What is the Greatest Common Factor of 82722 and 82737?

Greatest common factor (GCF) of 82722 and 82737 is 3.

GCF(82722,82737) = 3

We will now calculate the prime factors of 82722 and 82737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82722 and 82737.

How to find the GCF of 82722 and 82737?

We will first find the prime factorization of 82722 and 82737. After we will calculate the factors of 82722 and 82737 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 82737

Prime factors of 82737 are 3, 29, 317. Prime factorization of 82737 in exponential form is:

82737 = 3² × 29¹ × 317¹

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 82737

List of positive integer factors of 82737 that divides 82722 without a remainder.

1, 3, 9, 29, 87, 261, 317, 951, 2853, 9193, 27579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82722 and 82737. The biggest common factor number is the GCF number.
So the greatest common factor 82722 and 82737 is 3.

Also check out the Least Common Multiple of 82722 and 82737