What is the Greatest Common Factor of 67088 and 67102?

Greatest common factor (GCF) of 67088 and 67102 is 14.

GCF(67088,67102) = 14

We will now calculate the prime factors of 67088 and 67102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67088 and 67102.

How to find the GCF of 67088 and 67102?

We will first find the prime factorization of 67088 and 67102. After we will calculate the factors of 67088 and 67102 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 67102

Prime factors of 67102 are 2, 7, 4793. Prime factorization of 67102 in exponential form is:

67102 = 2¹ × 7¹ × 4793¹

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 67102

List of positive integer factors of 67102 that divides 67088 without a remainder.

1, 2, 7, 14, 4793, 9586, 33551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67088 and 67102. The biggest common factor number is the GCF number.
So the greatest common factor 67088 and 67102 is 14.

Also check out the Least Common Multiple of 67088 and 67102