What is the Greatest Common Factor of 89686 and 89698?

Greatest common factor (GCF) of 89686 and 89698 is 2.

GCF(89686,89698) = 2

We will now calculate the prime factors of 89686 and 89698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89686 and 89698.

How to find the GCF of 89686 and 89698?

We will first find the prime factorization of 89686 and 89698. After we will calculate the factors of 89686 and 89698 and find the biggest common factor number .

Step-1: Prime Factorization of 89686

Prime factors of 89686 are 2, 44843. Prime factorization of 89686 in exponential form is:

89686 = 2¹ × 44843¹

Step-2: Prime Factorization of 89698

Prime factors of 89698 are 2, 7, 43, 149. Prime factorization of 89698 in exponential form is:

89698 = 2¹ × 7¹ × 43¹ × 149¹

Step-3: Factors of 89686

List of positive integer factors of 89686 that divides 89686 without a remainder.

1, 2, 44843

Step-4: Factors of 89698

List of positive integer factors of 89698 that divides 89686 without a remainder.

1, 2, 7, 14, 43, 86, 149, 298, 301, 602, 1043, 2086, 6407, 12814, 44849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89686 and 89698. The biggest common factor number is the GCF number.
So the greatest common factor 89686 and 89698 is 2.

Also check out the Least Common Multiple of 89686 and 89698