What is the Greatest Common Factor of 89290 and 89304?

Greatest common factor (GCF) of 89290 and 89304 is 2.

GCF(89290,89304) = 2

We will now calculate the prime factors of 89290 and 89304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89290 and 89304.

How to find the GCF of 89290 and 89304?

We will first find the prime factorization of 89290 and 89304. After we will calculate the factors of 89290 and 89304 and find the biggest common factor number .

Step-1: Prime Factorization of 89290

Prime factors of 89290 are 2, 5, 8929. Prime factorization of 89290 in exponential form is:

89290 = 2¹ × 5¹ × 8929¹

Step-2: Prime Factorization of 89304

Prime factors of 89304 are 2, 3, 61. Prime factorization of 89304 in exponential form is:

89304 = 2³ × 3¹ × 61²

Step-3: Factors of 89290

List of positive integer factors of 89290 that divides 89290 without a remainder.

1, 2, 5, 10, 8929, 17858, 44645

Step-4: Factors of 89304

List of positive integer factors of 89304 that divides 89290 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464, 3721, 7442, 11163, 14884, 22326, 29768, 44652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89290 and 89304. The biggest common factor number is the GCF number.
So the greatest common factor 89290 and 89304 is 2.

Also check out the Least Common Multiple of 89290 and 89304