What is the Greatest Common Factor of 81345 and 81350?

Greatest common factor (GCF) of 81345 and 81350 is 5.

GCF(81345,81350) = 5

We will now calculate the prime factors of 81345 and 81350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81345 and 81350.

How to find the GCF of 81345 and 81350?

We will first find the prime factorization of 81345 and 81350. After we will calculate the factors of 81345 and 81350 and find the biggest common factor number .

Step-1: Prime Factorization of 81345

Prime factors of 81345 are 3, 5, 11, 17, 29. Prime factorization of 81345 in exponential form is:

81345 = 3¹ × 5¹ × 11¹ × 17¹ × 29¹

Step-2: Prime Factorization of 81350

Prime factors of 81350 are 2, 5, 1627. Prime factorization of 81350 in exponential form is:

81350 = 2¹ × 5² × 1627¹

Step-3: Factors of 81345

List of positive integer factors of 81345 that divides 81345 without a remainder.

1, 3, 5, 11, 15, 17, 29, 33, 51, 55, 85, 87, 145, 165, 187, 255, 319, 435, 493, 561, 935, 957, 1479, 1595, 2465, 2805, 4785, 5423, 7395, 16269, 27115

Step-4: Factors of 81350

List of positive integer factors of 81350 that divides 81345 without a remainder.

1, 2, 5, 10, 25, 50, 1627, 3254, 8135, 16270, 40675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81345 and 81350. The biggest common factor number is the GCF number.
So the greatest common factor 81345 and 81350 is 5.

Also check out the Least Common Multiple of 81345 and 81350