What is the Greatest Common Factor of 68066 and 68074?

Greatest common factor (GCF) of 68066 and 68074 is 2.

GCF(68066,68074) = 2

We will now calculate the prime factors of 68066 and 68074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68066 and 68074.

How to find the GCF of 68066 and 68074?

We will first find the prime factorization of 68066 and 68074. After we will calculate the factors of 68066 and 68074 and find the biggest common factor number .

Step-1: Prime Factorization of 68066

Prime factors of 68066 are 2, 34033. Prime factorization of 68066 in exponential form is:

68066 = 2¹ × 34033¹

Step-2: Prime Factorization of 68074

Prime factors of 68074 are 2, 101, 337. Prime factorization of 68074 in exponential form is:

68074 = 2¹ × 101¹ × 337¹

Step-3: Factors of 68066

List of positive integer factors of 68066 that divides 68066 without a remainder.

1, 2, 34033

Step-4: Factors of 68074

List of positive integer factors of 68074 that divides 68066 without a remainder.

1, 2, 101, 202, 337, 674, 34037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68066 and 68074. The biggest common factor number is the GCF number.
So the greatest common factor 68066 and 68074 is 2.

Also check out the Least Common Multiple of 68066 and 68074