What is the Greatest Common Factor of 81750 and 81765?

Greatest common factor (GCF) of 81750 and 81765 is 15.

GCF(81750,81765) = 15

We will now calculate the prime factors of 81750 and 81765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81750 and 81765.

How to find the GCF of 81750 and 81765?

We will first find the prime factorization of 81750 and 81765. After we will calculate the factors of 81750 and 81765 and find the biggest common factor number .

Step-1: Prime Factorization of 81750

Prime factors of 81750 are 2, 3, 5, 109. Prime factorization of 81750 in exponential form is:

81750 = 2¹ × 3¹ × 5³ × 109¹

Step-2: Prime Factorization of 81765

Prime factors of 81765 are 3, 5, 23, 79. Prime factorization of 81765 in exponential form is:

81765 = 3² × 5¹ × 23¹ × 79¹

Step-3: Factors of 81750

List of positive integer factors of 81750 that divides 81750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 125, 150, 218, 250, 327, 375, 545, 654, 750, 1090, 1635, 2725, 3270, 5450, 8175, 13625, 16350, 27250, 40875

Step-4: Factors of 81765

List of positive integer factors of 81765 that divides 81750 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 79, 115, 207, 237, 345, 395, 711, 1035, 1185, 1817, 3555, 5451, 9085, 16353, 27255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81750 and 81765. The biggest common factor number is the GCF number.
So the greatest common factor 81750 and 81765 is 15.

Also check out the Least Common Multiple of 81750 and 81765