What is the Greatest Common Factor of 89170 and 89190?

Greatest common factor (GCF) of 89170 and 89190 is 10.

GCF(89170,89190) = 10

We will now calculate the prime factors of 89170 and 89190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89170 and 89190.

How to find the GCF of 89170 and 89190?

We will first find the prime factorization of 89170 and 89190. After we will calculate the factors of 89170 and 89190 and find the biggest common factor number .

Step-1: Prime Factorization of 89170

Prime factors of 89170 are 2, 5, 37, 241. Prime factorization of 89170 in exponential form is:

89170 = 2¹ × 5¹ × 37¹ × 241¹

Step-2: Prime Factorization of 89190

Prime factors of 89190 are 2, 3, 5, 991. Prime factorization of 89190 in exponential form is:

89190 = 2¹ × 3² × 5¹ × 991¹

Step-3: Factors of 89170

List of positive integer factors of 89170 that divides 89170 without a remainder.

1, 2, 5, 10, 37, 74, 185, 241, 370, 482, 1205, 2410, 8917, 17834, 44585

Step-4: Factors of 89190

List of positive integer factors of 89190 that divides 89170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 991, 1982, 2973, 4955, 5946, 8919, 9910, 14865, 17838, 29730, 44595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89170 and 89190. The biggest common factor number is the GCF number.
So the greatest common factor 89170 and 89190 is 10.

Also check out the Least Common Multiple of 89170 and 89190