What is the Greatest Common Factor of 89102 and 89116?

Greatest common factor (GCF) of 89102 and 89116 is 2.

GCF(89102,89116) = 2

We will now calculate the prime factors of 89102 and 89116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89102 and 89116.

How to find the GCF of 89102 and 89116?

We will first find the prime factorization of 89102 and 89116. After we will calculate the factors of 89102 and 89116 and find the biggest common factor number .

Step-1: Prime Factorization of 89102

Prime factors of 89102 are 2, 13, 23, 149. Prime factorization of 89102 in exponential form is:

89102 = 2¹ × 13¹ × 23¹ × 149¹

Step-2: Prime Factorization of 89116

Prime factors of 89116 are 2, 22279. Prime factorization of 89116 in exponential form is:

89116 = 2² × 22279¹

Step-3: Factors of 89102

List of positive integer factors of 89102 that divides 89102 without a remainder.

1, 2, 13, 23, 26, 46, 149, 298, 299, 598, 1937, 3427, 3874, 6854, 44551

Step-4: Factors of 89116

List of positive integer factors of 89116 that divides 89102 without a remainder.

1, 2, 4, 22279, 44558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89102 and 89116. The biggest common factor number is the GCF number.
So the greatest common factor 89102 and 89116 is 2.

Also check out the Least Common Multiple of 89102 and 89116