What is the Greatest Common Factor of 89658 and 89675?

Greatest common factor (GCF) of 89658 and 89675 is 17.

GCF(89658,89675) = 17

We will now calculate the prime factors of 89658 and 89675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89658 and 89675.

How to find the GCF of 89658 and 89675?

We will first find the prime factorization of 89658 and 89675. After we will calculate the factors of 89658 and 89675 and find the biggest common factor number .

Step-1: Prime Factorization of 89658

Prime factors of 89658 are 2, 3, 17, 293. Prime factorization of 89658 in exponential form is:

89658 = 2¹ × 3² × 17¹ × 293¹

Step-2: Prime Factorization of 89675

Prime factors of 89675 are 5, 17, 211. Prime factorization of 89675 in exponential form is:

89675 = 5² × 17¹ × 211¹

Step-3: Factors of 89658

List of positive integer factors of 89658 that divides 89658 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 293, 306, 586, 879, 1758, 2637, 4981, 5274, 9962, 14943, 29886, 44829

Step-4: Factors of 89675

List of positive integer factors of 89675 that divides 89658 without a remainder.

1, 5, 17, 25, 85, 211, 425, 1055, 3587, 5275, 17935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89658 and 89675. The biggest common factor number is the GCF number.
So the greatest common factor 89658 and 89675 is 17.

Also check out the Least Common Multiple of 89658 and 89675