What is the Greatest Common Factor of 81650 and 81655?

Greatest common factor (GCF) of 81650 and 81655 is 5.

GCF(81650,81655) = 5

We will now calculate the prime factors of 81650 and 81655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81650 and 81655.

How to find the GCF of 81650 and 81655?

We will first find the prime factorization of 81650 and 81655. After we will calculate the factors of 81650 and 81655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81655

Prime factors of 81655 are 5, 7, 2333. Prime factorization of 81655 in exponential form is:

81655 = 5¹ × 7¹ × 2333¹

Step-3: Factors of 81650

List of positive integer factors of 81650 that divides 81650 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

Step-4: Factors of 81655

List of positive integer factors of 81655 that divides 81650 without a remainder.

1, 5, 7, 35, 2333, 11665, 16331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81650 and 81655. The biggest common factor number is the GCF number.
So the greatest common factor 81650 and 81655 is 5.

Also check out the Least Common Multiple of 81650 and 81655