What is the Greatest Common Factor of 81645 and 81650?

Greatest common factor (GCF) of 81645 and 81650 is 5.

GCF(81645,81650) = 5

We will now calculate the prime factors of 81645 and 81650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81645 and 81650.

How to find the GCF of 81645 and 81650?

We will first find the prime factorization of 81645 and 81650. After we will calculate the factors of 81645 and 81650 and find the biggest common factor number .

Step-1: Prime Factorization of 81645

Prime factors of 81645 are 3, 5, 5443. Prime factorization of 81645 in exponential form is:

81645 = 3¹ × 5¹ × 5443¹

Step-2: Prime Factorization of 81650

Prime factors of 81650 are 2, 5, 23, 71. Prime factorization of 81650 in exponential form is:

81650 = 2¹ × 5² × 23¹ × 71¹

Step-3: Factors of 81645

List of positive integer factors of 81645 that divides 81645 without a remainder.

1, 3, 5, 15, 5443, 16329, 27215

Step-4: Factors of 81650

List of positive integer factors of 81650 that divides 81645 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 71, 115, 142, 230, 355, 575, 710, 1150, 1633, 1775, 3266, 3550, 8165, 16330, 40825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81645 and 81650. The biggest common factor number is the GCF number.
So the greatest common factor 81645 and 81650 is 5.

Also check out the Least Common Multiple of 81645 and 81650