What is the Greatest Common Factor of 89814 and 89834?

Greatest common factor (GCF) of 89814 and 89834 is 2.

GCF(89814,89834) = 2

We will now calculate the prime factors of 89814 and 89834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89814 and 89834.

How to find the GCF of 89814 and 89834?

We will first find the prime factorization of 89814 and 89834. After we will calculate the factors of 89814 and 89834 and find the biggest common factor number .

Step-1: Prime Factorization of 89814

Prime factors of 89814 are 2, 3, 14969. Prime factorization of 89814 in exponential form is:

89814 = 2¹ × 3¹ × 14969¹

Step-2: Prime Factorization of 89834

Prime factors of 89834 are 2, 44917. Prime factorization of 89834 in exponential form is:

89834 = 2¹ × 44917¹

Step-3: Factors of 89814

List of positive integer factors of 89814 that divides 89814 without a remainder.

1, 2, 3, 6, 14969, 29938, 44907

Step-4: Factors of 89834

List of positive integer factors of 89834 that divides 89814 without a remainder.

1, 2, 44917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89814 and 89834. The biggest common factor number is the GCF number.
So the greatest common factor 89814 and 89834 is 2.

Also check out the Least Common Multiple of 89814 and 89834