What is the Greatest Common Factor of 30634 and 30649?

Greatest common factor (GCF) of 30634 and 30649 is 1.

GCF(30634,30649) = 1

We will now calculate the prime factors of 30634 and 30649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30634 and 30649.

How to find the GCF of 30634 and 30649?

We will first find the prime factorization of 30634 and 30649. After we will calculate the factors of 30634 and 30649 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 30649

Prime factors of 30649 are 30649. Prime factorization of 30649 in exponential form is:

30649 = 30649¹

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 30649

List of positive integer factors of 30649 that divides 30634 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30634 and 30649. The biggest common factor number is the GCF number.
So the greatest common factor 30634 and 30649 is 1.

Also check out the Least Common Multiple of 30634 and 30649