What is the Greatest Common Factor of 89775 and 89790?

Greatest common factor (GCF) of 89775 and 89790 is 15.

GCF(89775,89790) = 15

We will now calculate the prime factors of 89775 and 89790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89775 and 89790.

How to find the GCF of 89775 and 89790?

We will first find the prime factorization of 89775 and 89790. After we will calculate the factors of 89775 and 89790 and find the biggest common factor number .

Step-1: Prime Factorization of 89775

Prime factors of 89775 are 3, 5, 7, 19. Prime factorization of 89775 in exponential form is:

89775 = 3³ × 5² × 7¹ × 19¹

Step-2: Prime Factorization of 89790

Prime factors of 89790 are 2, 3, 5, 41, 73. Prime factorization of 89790 in exponential form is:

89790 = 2¹ × 3¹ × 5¹ × 41¹ × 73¹

Step-3: Factors of 89775

List of positive integer factors of 89775 that divides 89775 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 25, 27, 35, 45, 57, 63, 75, 95, 105, 133, 135, 171, 175, 189, 225, 285, 315, 399, 475, 513, 525, 665, 675, 855, 945, 1197, 1425, 1575, 1995, 2565, 3325, 3591, 4275, 4725, 5985, 9975, 12825, 17955, 29925

Step-4: Factors of 89790

List of positive integer factors of 89790 that divides 89775 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 73, 82, 123, 146, 205, 219, 246, 365, 410, 438, 615, 730, 1095, 1230, 2190, 2993, 5986, 8979, 14965, 17958, 29930, 44895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89775 and 89790. The biggest common factor number is the GCF number.
So the greatest common factor 89775 and 89790 is 15.

Also check out the Least Common Multiple of 89775 and 89790