What is the Greatest Common Factor of 67142 and 67154?

Greatest common factor (GCF) of 67142 and 67154 is 2.

GCF(67142,67154) = 2

We will now calculate the prime factors of 67142 and 67154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67142 and 67154.

How to find the GCF of 67142 and 67154?

We will first find the prime factorization of 67142 and 67154. After we will calculate the factors of 67142 and 67154 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67154

Prime factors of 67154 are 2, 33577. Prime factorization of 67154 in exponential form is:

67154 = 2¹ × 33577¹

Step-3: Factors of 67142

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

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

Step-4: Factors of 67154

List of positive integer factors of 67154 that divides 67142 without a remainder.

1, 2, 33577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67142 and 67154. The biggest common factor number is the GCF number.
So the greatest common factor 67142 and 67154 is 2.

Also check out the Least Common Multiple of 67142 and 67154