What is the Greatest Common Factor of 89645 and 89660?

Greatest common factor (GCF) of 89645 and 89660 is 5.

GCF(89645,89660) = 5

We will now calculate the prime factors of 89645 and 89660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89645 and 89660.

How to find the GCF of 89645 and 89660?

We will first find the prime factorization of 89645 and 89660. After we will calculate the factors of 89645 and 89660 and find the biggest common factor number .

Step-1: Prime Factorization of 89645

Prime factors of 89645 are 5, 17929. Prime factorization of 89645 in exponential form is:

89645 = 5¹ × 17929¹

Step-2: Prime Factorization of 89660

Prime factors of 89660 are 2, 5, 4483. Prime factorization of 89660 in exponential form is:

89660 = 2² × 5¹ × 4483¹

Step-3: Factors of 89645

List of positive integer factors of 89645 that divides 89645 without a remainder.

1, 5, 17929

Step-4: Factors of 89660

List of positive integer factors of 89660 that divides 89645 without a remainder.

1, 2, 4, 5, 10, 20, 4483, 8966, 17932, 22415, 44830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89645 and 89660. The biggest common factor number is the GCF number.
So the greatest common factor 89645 and 89660 is 5.

Also check out the Least Common Multiple of 89645 and 89660