What is the Greatest Common Factor of 89775 and 89785?

Greatest common factor (GCF) of 89775 and 89785 is 5.

GCF(89775,89785) = 5

We will now calculate the prime factors of 89775 and 89785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89775 and 89785.

How to find the GCF of 89775 and 89785?

We will first find the prime factorization of 89775 and 89785. After we will calculate the factors of 89775 and 89785 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 89785

Prime factors of 89785 are 5, 17957. Prime factorization of 89785 in exponential form is:

89785 = 5¹ × 17957¹

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 89785

List of positive integer factors of 89785 that divides 89775 without a remainder.

1, 5, 17957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89775 and 89785. The biggest common factor number is the GCF number.
So the greatest common factor 89775 and 89785 is 5.

Also check out the Least Common Multiple of 89775 and 89785