What is the Greatest Common Factor of 67078 and 67094?

Greatest common factor (GCF) of 67078 and 67094 is 2.

GCF(67078,67094) = 2

We will now calculate the prime factors of 67078 and 67094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67078 and 67094.

How to find the GCF of 67078 and 67094?

We will first find the prime factorization of 67078 and 67094. After we will calculate the factors of 67078 and 67094 and find the biggest common factor number .

Step-1: Prime Factorization of 67078

Prime factors of 67078 are 2, 11, 3049. Prime factorization of 67078 in exponential form is:

67078 = 2¹ × 11¹ × 3049¹

Step-2: Prime Factorization of 67094

Prime factors of 67094 are 2, 33547. Prime factorization of 67094 in exponential form is:

67094 = 2¹ × 33547¹

Step-3: Factors of 67078

List of positive integer factors of 67078 that divides 67078 without a remainder.

1, 2, 11, 22, 3049, 6098, 33539

Step-4: Factors of 67094

List of positive integer factors of 67094 that divides 67078 without a remainder.

1, 2, 33547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67078 and 67094. The biggest common factor number is the GCF number.
So the greatest common factor 67078 and 67094 is 2.

Also check out the Least Common Multiple of 67078 and 67094