What is the Greatest Common Factor of 89098 and 89118?

Greatest common factor (GCF) of 89098 and 89118 is 2.

GCF(89098,89118) = 2

We will now calculate the prime factors of 89098 and 89118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89098 and 89118.

How to find the GCF of 89098 and 89118?

We will first find the prime factorization of 89098 and 89118. After we will calculate the factors of 89098 and 89118 and find the biggest common factor number .

Step-1: Prime Factorization of 89098

Prime factors of 89098 are 2, 44549. Prime factorization of 89098 in exponential form is:

89098 = 2¹ × 44549¹

Step-2: Prime Factorization of 89118

Prime factors of 89118 are 2, 3, 4951. Prime factorization of 89118 in exponential form is:

89118 = 2¹ × 3² × 4951¹

Step-3: Factors of 89098

List of positive integer factors of 89098 that divides 89098 without a remainder.

1, 2, 44549

Step-4: Factors of 89118

List of positive integer factors of 89118 that divides 89098 without a remainder.

1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89098 and 89118. The biggest common factor number is the GCF number.
So the greatest common factor 89098 and 89118 is 2.

Also check out the Least Common Multiple of 89098 and 89118