What is the Greatest Common Factor of 67089 and 67095?

Greatest common factor (GCF) of 67089 and 67095 is 3.

GCF(67089,67095) = 3

We will now calculate the prime factors of 67089 and 67095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67089 and 67095.

How to find the GCF of 67089 and 67095?

We will first find the prime factorization of 67089 and 67095. After we will calculate the factors of 67089 and 67095 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 67095

Prime factors of 67095 are 3, 5, 7, 71. Prime factorization of 67095 in exponential form is:

67095 = 3³ × 5¹ × 7¹ × 71¹

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 67095

List of positive integer factors of 67095 that divides 67089 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 71, 105, 135, 189, 213, 315, 355, 497, 639, 945, 1065, 1491, 1917, 2485, 3195, 4473, 7455, 9585, 13419, 22365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67089 and 67095. The biggest common factor number is the GCF number.
So the greatest common factor 67089 and 67095 is 3.

Also check out the Least Common Multiple of 67089 and 67095