What is the Greatest Common Factor of 89775 and 89782?

Greatest common factor (GCF) of 89775 and 89782 is 7.

GCF(89775,89782) = 7

We will now calculate the prime factors of 89775 and 89782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89775 and 89782.

How to find the GCF of 89775 and 89782?

We will first find the prime factorization of 89775 and 89782. After we will calculate the factors of 89775 and 89782 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 89782

Prime factors of 89782 are 2, 7, 11, 53. Prime factorization of 89782 in exponential form is:

89782 = 2¹ × 7¹ × 11² × 53¹

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 89782

List of positive integer factors of 89782 that divides 89775 without a remainder.

1, 2, 7, 11, 14, 22, 53, 77, 106, 121, 154, 242, 371, 583, 742, 847, 1166, 1694, 4081, 6413, 8162, 12826, 44891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89775 and 89782. The biggest common factor number is the GCF number.
So the greatest common factor 89775 and 89782 is 7.

Also check out the Least Common Multiple of 89775 and 89782