What is the Greatest Common Factor of 30704 and 30722?

Greatest common factor (GCF) of 30704 and 30722 is 2.

GCF(30704,30722) = 2

We will now calculate the prime factors of 30704 and 30722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30704 and 30722.

How to find the GCF of 30704 and 30722?

We will first find the prime factorization of 30704 and 30722. After we will calculate the factors of 30704 and 30722 and find the biggest common factor number .

Step-1: Prime Factorization of 30704

Prime factors of 30704 are 2, 19, 101. Prime factorization of 30704 in exponential form is:

30704 = 2⁴ × 19¹ × 101¹

Step-2: Prime Factorization of 30722

Prime factors of 30722 are 2, 15361. Prime factorization of 30722 in exponential form is:

30722 = 2¹ × 15361¹

Step-3: Factors of 30704

List of positive integer factors of 30704 that divides 30704 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 101, 152, 202, 304, 404, 808, 1616, 1919, 3838, 7676, 15352

Step-4: Factors of 30722

List of positive integer factors of 30722 that divides 30704 without a remainder.

1, 2, 15361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30704 and 30722. The biggest common factor number is the GCF number.
So the greatest common factor 30704 and 30722 is 2.

Also check out the Least Common Multiple of 30704 and 30722