What is the Greatest Common Factor of 30634 and 30647?

Greatest common factor (GCF) of 30634 and 30647 is 1.

GCF(30634,30647) = 1

We will now calculate the prime factors of 30634 and 30647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30634 and 30647.

How to find the GCF of 30634 and 30647?

We will first find the prime factorization of 30634 and 30647. After we will calculate the factors of 30634 and 30647 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 30647

Prime factors of 30647 are 19, 1613. Prime factorization of 30647 in exponential form is:

30647 = 19¹ × 1613¹

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 30647

List of positive integer factors of 30647 that divides 30634 without a remainder.

1, 19, 1613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30634 and 30647. The biggest common factor number is the GCF number.
So the greatest common factor 30634 and 30647 is 1.

Also check out the Least Common Multiple of 30634 and 30647