What is the Greatest Common Factor of 89946 and 89965?

Greatest common factor (GCF) of 89946 and 89965 is 19.

GCF(89946,89965) = 19

We will now calculate the prime factors of 89946 and 89965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89946 and 89965.

How to find the GCF of 89946 and 89965?

We will first find the prime factorization of 89946 and 89965. After we will calculate the factors of 89946 and 89965 and find the biggest common factor number .

Step-1: Prime Factorization of 89946

Prime factors of 89946 are 2, 3, 19, 263. Prime factorization of 89946 in exponential form is:

89946 = 2¹ × 3² × 19¹ × 263¹

Step-2: Prime Factorization of 89965

Prime factors of 89965 are 5, 19, 947. Prime factorization of 89965 in exponential form is:

89965 = 5¹ × 19¹ × 947¹

Step-3: Factors of 89946

List of positive integer factors of 89946 that divides 89946 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 263, 342, 526, 789, 1578, 2367, 4734, 4997, 9994, 14991, 29982, 44973

Step-4: Factors of 89965

List of positive integer factors of 89965 that divides 89946 without a remainder.

1, 5, 19, 95, 947, 4735, 17993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89946 and 89965. The biggest common factor number is the GCF number.
So the greatest common factor 89946 and 89965 is 19.

Also check out the Least Common Multiple of 89946 and 89965