What is the Greatest Common Factor of 89994 and 90010?

Greatest common factor (GCF) of 89994 and 90010 is 2.

GCF(89994,90010) = 2

We will now calculate the prime factors of 89994 and 90010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89994 and 90010.

How to find the GCF of 89994 and 90010?

We will first find the prime factorization of 89994 and 90010. After we will calculate the factors of 89994 and 90010 and find the biggest common factor number .

Step-1: Prime Factorization of 89994

Prime factors of 89994 are 2, 3, 53, 283. Prime factorization of 89994 in exponential form is:

89994 = 2¹ × 3¹ × 53¹ × 283¹

Step-2: Prime Factorization of 90010

Prime factors of 90010 are 2, 5, 9001. Prime factorization of 90010 in exponential form is:

90010 = 2¹ × 5¹ × 9001¹

Step-3: Factors of 89994

List of positive integer factors of 89994 that divides 89994 without a remainder.

1, 2, 3, 6, 53, 106, 159, 283, 318, 566, 849, 1698, 14999, 29998, 44997

Step-4: Factors of 90010

List of positive integer factors of 90010 that divides 89994 without a remainder.

1, 2, 5, 10, 9001, 18002, 45005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89994 and 90010. The biggest common factor number is the GCF number.
So the greatest common factor 89994 and 90010 is 2.

Also check out the Least Common Multiple of 89994 and 90010