What is the Greatest Common Factor of 89761 and 89775?

Greatest common factor (GCF) of 89761 and 89775 is 7.

GCF(89761,89775) = 7

We will now calculate the prime factors of 89761 and 89775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89761 and 89775.

How to find the GCF of 89761 and 89775?

We will first find the prime factorization of 89761 and 89775. After we will calculate the factors of 89761 and 89775 and find the biggest common factor number .

Step-1: Prime Factorization of 89761

Prime factors of 89761 are 7, 12823. Prime factorization of 89761 in exponential form is:

89761 = 7¹ × 12823¹

Step-2: 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-3: Factors of 89761

List of positive integer factors of 89761 that divides 89761 without a remainder.

1, 7, 12823

Step-4: Factors of 89775

List of positive integer factors of 89775 that divides 89761 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89761 and 89775. The biggest common factor number is the GCF number.
So the greatest common factor 89761 and 89775 is 7.

Also check out the Least Common Multiple of 89761 and 89775