What is the Greatest Common Factor of 30690 and 30697?

Greatest common factor (GCF) of 30690 and 30697 is 1.

GCF(30690,30697) = 1

We will now calculate the prime factors of 30690 and 30697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30690 and 30697.

How to find the GCF of 30690 and 30697?

We will first find the prime factorization of 30690 and 30697. After we will calculate the factors of 30690 and 30697 and find the biggest common factor number .

Step-1: Prime Factorization of 30690

Prime factors of 30690 are 2, 3, 5, 11, 31. Prime factorization of 30690 in exponential form is:

30690 = 2¹ × 3² × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 30697

Prime factors of 30697 are 30697. Prime factorization of 30697 in exponential form is:

30697 = 30697¹

Step-3: Factors of 30690

List of positive integer factors of 30690 that divides 30690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 31, 33, 45, 55, 62, 66, 90, 93, 99, 110, 155, 165, 186, 198, 279, 310, 330, 341, 465, 495, 558, 682, 930, 990, 1023, 1395, 1705, 2046, 2790, 3069, 3410, 5115, 6138, 10230, 15345

Step-4: Factors of 30697

List of positive integer factors of 30697 that divides 30690 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30690 and 30697. The biggest common factor number is the GCF number.
So the greatest common factor 30690 and 30697 is 1.

Also check out the Least Common Multiple of 30690 and 30697