What is the Greatest Common Factor of 67088 and 67095?

Greatest common factor (GCF) of 67088 and 67095 is 7.

GCF(67088,67095) = 7

We will now calculate the prime factors of 67088 and 67095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67088 and 67095.

How to find the GCF of 67088 and 67095?

We will first find the prime factorization of 67088 and 67095. After we will calculate the factors of 67088 and 67095 and find the biggest common factor number .

Step-1: Prime Factorization of 67088

Prime factors of 67088 are 2, 7, 599. Prime factorization of 67088 in exponential form is:

67088 = 2⁴ × 7¹ × 599¹

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 67088

List of positive integer factors of 67088 that divides 67088 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 599, 1198, 2396, 4193, 4792, 8386, 9584, 16772, 33544

Step-4: Factors of 67095

List of positive integer factors of 67095 that divides 67088 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 67088 and 67095. The biggest common factor number is the GCF number.
So the greatest common factor 67088 and 67095 is 7.

Also check out the Least Common Multiple of 67088 and 67095