What is the Greatest Common Factor of 82775 and 82785?

Greatest common factor (GCF) of 82775 and 82785 is 5.

GCF(82775,82785) = 5

We will now calculate the prime factors of 82775 and 82785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82775 and 82785.

How to find the GCF of 82775 and 82785?

We will first find the prime factorization of 82775 and 82785. After we will calculate the factors of 82775 and 82785 and find the biggest common factor number .

Step-1: Prime Factorization of 82775

Prime factors of 82775 are 5, 7, 11, 43. Prime factorization of 82775 in exponential form is:

82775 = 5² × 7¹ × 11¹ × 43¹

Step-2: Prime Factorization of 82785

Prime factors of 82785 are 3, 5, 5519. Prime factorization of 82785 in exponential form is:

82785 = 3¹ × 5¹ × 5519¹

Step-3: Factors of 82775

List of positive integer factors of 82775 that divides 82775 without a remainder.

1, 5, 7, 11, 25, 35, 43, 55, 77, 175, 215, 275, 301, 385, 473, 1075, 1505, 1925, 2365, 3311, 7525, 11825, 16555

Step-4: Factors of 82785

List of positive integer factors of 82785 that divides 82775 without a remainder.

1, 3, 5, 15, 5519, 16557, 27595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82775 and 82785. The biggest common factor number is the GCF number.
So the greatest common factor 82775 and 82785 is 5.

Also check out the Least Common Multiple of 82775 and 82785