What is the Greatest Common Factor of 82730 and 82735?

Greatest common factor (GCF) of 82730 and 82735 is 5.

GCF(82730,82735) = 5

We will now calculate the prime factors of 82730 and 82735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82730 and 82735.

How to find the GCF of 82730 and 82735?

We will first find the prime factorization of 82730 and 82735. After we will calculate the factors of 82730 and 82735 and find the biggest common factor number .

Step-1: Prime Factorization of 82730

Prime factors of 82730 are 2, 5, 8273. Prime factorization of 82730 in exponential form is:

82730 = 2¹ × 5¹ × 8273¹

Step-2: Prime Factorization of 82735

Prime factors of 82735 are 5, 16547. Prime factorization of 82735 in exponential form is:

82735 = 5¹ × 16547¹

Step-3: Factors of 82730

List of positive integer factors of 82730 that divides 82730 without a remainder.

1, 2, 5, 10, 8273, 16546, 41365

Step-4: Factors of 82735

List of positive integer factors of 82735 that divides 82730 without a remainder.

1, 5, 16547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82730 and 82735. The biggest common factor number is the GCF number.
So the greatest common factor 82730 and 82735 is 5.

Also check out the Least Common Multiple of 82730 and 82735