What is the Greatest Common Factor of 67136 and 67142?

Greatest common factor (GCF) of 67136 and 67142 is 2.

GCF(67136,67142) = 2

We will now calculate the prime factors of 67136 and 67142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67136 and 67142.

How to find the GCF of 67136 and 67142?

We will first find the prime factorization of 67136 and 67142. After we will calculate the factors of 67136 and 67142 and find the biggest common factor number .

Step-1: Prime Factorization of 67136

Prime factors of 67136 are 2, 1049. Prime factorization of 67136 in exponential form is:

67136 = 2⁶ × 1049¹

Step-2: Prime Factorization of 67142

Prime factors of 67142 are 2, 59, 569. Prime factorization of 67142 in exponential form is:

67142 = 2¹ × 59¹ × 569¹

Step-3: Factors of 67136

List of positive integer factors of 67136 that divides 67136 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1049, 2098, 4196, 8392, 16784, 33568

Step-4: Factors of 67142

List of positive integer factors of 67142 that divides 67136 without a remainder.

1, 2, 59, 118, 569, 1138, 33571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67136 and 67142. The biggest common factor number is the GCF number.
So the greatest common factor 67136 and 67142 is 2.

Also check out the Least Common Multiple of 67136 and 67142