What is the Greatest Common Factor of 89089 and 89098?

Greatest common factor (GCF) of 89089 and 89098 is 1.

GCF(89089,89098) = 1

We will now calculate the prime factors of 89089 and 89098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89089 and 89098.

How to find the GCF of 89089 and 89098?

We will first find the prime factorization of 89089 and 89098. After we will calculate the factors of 89089 and 89098 and find the biggest common factor number .

Step-1: Prime Factorization of 89089

Prime factors of 89089 are 7, 11, 13, 89. Prime factorization of 89089 in exponential form is:

89089 = 7¹ × 11¹ × 13¹ × 89¹

Step-2: Prime Factorization of 89098

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

89098 = 2¹ × 44549¹

Step-3: Factors of 89089

List of positive integer factors of 89089 that divides 89089 without a remainder.

1, 7, 11, 13, 77, 89, 91, 143, 623, 979, 1001, 1157, 6853, 8099, 12727

Step-4: Factors of 89098

List of positive integer factors of 89098 that divides 89089 without a remainder.

1, 2, 44549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89089 and 89098. The biggest common factor number is the GCF number.
So the greatest common factor 89089 and 89098 is 1.

Also check out the Least Common Multiple of 89089 and 89098