What is the Greatest Common Factor of 67089 and 67109?

Greatest common factor (GCF) of 67089 and 67109 is 1.

GCF(67089,67109) = 1

We will now calculate the prime factors of 67089 and 67109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67089 and 67109.

How to find the GCF of 67089 and 67109?

We will first find the prime factorization of 67089 and 67109. After we will calculate the factors of 67089 and 67109 and find the biggest common factor number .

Step-1: Prime Factorization of 67089

Prime factors of 67089 are 3, 11, 19, 107. Prime factorization of 67089 in exponential form is:

67089 = 3¹ × 11¹ × 19¹ × 107¹

Step-2: Prime Factorization of 67109

Prime factors of 67109 are 7, 9587. Prime factorization of 67109 in exponential form is:

67109 = 7¹ × 9587¹

Step-3: Factors of 67089

List of positive integer factors of 67089 that divides 67089 without a remainder.

1, 3, 11, 19, 33, 57, 107, 209, 321, 627, 1177, 2033, 3531, 6099, 22363

Step-4: Factors of 67109

List of positive integer factors of 67109 that divides 67089 without a remainder.

1, 7, 9587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67089 and 67109. The biggest common factor number is the GCF number.
So the greatest common factor 67089 and 67109 is 1.

Also check out the Least Common Multiple of 67089 and 67109