What is the Greatest Common Factor of 89585 and 89604?

Greatest common factor (GCF) of 89585 and 89604 is 19.

GCF(89585,89604) = 19

We will now calculate the prime factors of 89585 and 89604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89585 and 89604.

How to find the GCF of 89585 and 89604?

We will first find the prime factorization of 89585 and 89604. After we will calculate the factors of 89585 and 89604 and find the biggest common factor number .

Step-1: Prime Factorization of 89585

Prime factors of 89585 are 5, 19, 23, 41. Prime factorization of 89585 in exponential form is:

89585 = 5¹ × 19¹ × 23¹ × 41¹

Step-2: Prime Factorization of 89604

Prime factors of 89604 are 2, 3, 19, 131. Prime factorization of 89604 in exponential form is:

89604 = 2² × 3² × 19¹ × 131¹

Step-3: Factors of 89585

List of positive integer factors of 89585 that divides 89585 without a remainder.

1, 5, 19, 23, 41, 95, 115, 205, 437, 779, 943, 2185, 3895, 4715, 17917

Step-4: Factors of 89604

List of positive integer factors of 89604 that divides 89585 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 131, 171, 228, 262, 342, 393, 524, 684, 786, 1179, 1572, 2358, 2489, 4716, 4978, 7467, 9956, 14934, 22401, 29868, 44802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89585 and 89604. The biggest common factor number is the GCF number.
So the greatest common factor 89585 and 89604 is 19.

Also check out the Least Common Multiple of 89585 and 89604