What is the Greatest Common Factor of 82695 and 82700?

Greatest common factor (GCF) of 82695 and 82700 is 5.

GCF(82695,82700) = 5

We will now calculate the prime factors of 82695 and 82700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82695 and 82700.

How to find the GCF of 82695 and 82700?

We will first find the prime factorization of 82695 and 82700. After we will calculate the factors of 82695 and 82700 and find the biggest common factor number .

Step-1: Prime Factorization of 82695

Prime factors of 82695 are 3, 5, 37, 149. Prime factorization of 82695 in exponential form is:

82695 = 3¹ × 5¹ × 37¹ × 149¹

Step-2: Prime Factorization of 82700

Prime factors of 82700 are 2, 5, 827. Prime factorization of 82700 in exponential form is:

82700 = 2² × 5² × 827¹

Step-3: Factors of 82695

List of positive integer factors of 82695 that divides 82695 without a remainder.

1, 3, 5, 15, 37, 111, 149, 185, 447, 555, 745, 2235, 5513, 16539, 27565

Step-4: Factors of 82700

List of positive integer factors of 82700 that divides 82695 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 827, 1654, 3308, 4135, 8270, 16540, 20675, 41350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82695 and 82700. The biggest common factor number is the GCF number.
So the greatest common factor 82695 and 82700 is 5.

Also check out the Least Common Multiple of 82695 and 82700