What is the Greatest Common Factor of 30634 and 30651?

Greatest common factor (GCF) of 30634 and 30651 is 17.

GCF(30634,30651) = 17

We will now calculate the prime factors of 30634 and 30651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30634 and 30651.

How to find the GCF of 30634 and 30651?

We will first find the prime factorization of 30634 and 30651. After we will calculate the factors of 30634 and 30651 and find the biggest common factor number .

Step-1: Prime Factorization of 30634

Prime factors of 30634 are 2, 17, 53. Prime factorization of 30634 in exponential form is:

30634 = 2¹ × 17² × 53¹

Step-2: Prime Factorization of 30651

Prime factors of 30651 are 3, 17, 601. Prime factorization of 30651 in exponential form is:

30651 = 3¹ × 17¹ × 601¹

Step-3: Factors of 30634

List of positive integer factors of 30634 that divides 30634 without a remainder.

1, 2, 17, 34, 53, 106, 289, 578, 901, 1802, 15317

Step-4: Factors of 30651

List of positive integer factors of 30651 that divides 30634 without a remainder.

1, 3, 17, 51, 601, 1803, 10217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30634 and 30651. The biggest common factor number is the GCF number.
So the greatest common factor 30634 and 30651 is 17.

Also check out the Least Common Multiple of 30634 and 30651