What is the Greatest Common Factor of 82775 and 82792?

Greatest common factor (GCF) of 82775 and 82792 is 1.

GCF(82775,82792) = 1

We will now calculate the prime factors of 82775 and 82792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82775 and 82792.

How to find the GCF of 82775 and 82792?

We will first find the prime factorization of 82775 and 82792. After we will calculate the factors of 82775 and 82792 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 82792

Prime factors of 82792 are 2, 79, 131. Prime factorization of 82792 in exponential form is:

82792 = 2³ × 79¹ × 131¹

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 82792

List of positive integer factors of 82792 that divides 82775 without a remainder.

1, 2, 4, 8, 79, 131, 158, 262, 316, 524, 632, 1048, 10349, 20698, 41396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82775 and 82792. The biggest common factor number is the GCF number.
So the greatest common factor 82775 and 82792 is 1.

Also check out the Least Common Multiple of 82775 and 82792