What is the Greatest Common Factor of 606 and 614?

Greatest common factor (GCF) of 606 and 614 is 2.

GCF(606,614) = 2

We will now calculate the prime factors of 606 and 614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 606 and 614.

How to find the GCF of 606 and 614?

We will first find the prime factorization of 606 and 614. After we will calculate the factors of 606 and 614 and find the biggest common factor number .

Step-1: Prime Factorization of 606

Prime factors of 606 are 2, 3, 101. Prime factorization of 606 in exponential form is:

606 = 2¹ × 3¹ × 101¹

Step-2: Prime Factorization of 614

Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:

614 = 2¹ × 307¹

Step-3: Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303

Step-4: Factors of 614

List of positive integer factors of 614 that divides 606 without a remainder.

1, 2, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 606 and 614. The biggest common factor number is the GCF number.
So the greatest common factor 606 and 614 is 2.

Also check out the Least Common Multiple of 606 and 614