What is the Greatest Common Factor of 30614 and 30629?

Greatest common factor (GCF) of 30614 and 30629 is 1.

GCF(30614,30629) = 1

We will now calculate the prime factors of 30614 and 30629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30614 and 30629.

How to find the GCF of 30614 and 30629?

We will first find the prime factorization of 30614 and 30629. After we will calculate the factors of 30614 and 30629 and find the biggest common factor number .

Step-1: Prime Factorization of 30614

Prime factors of 30614 are 2, 15307. Prime factorization of 30614 in exponential form is:

30614 = 2¹ × 15307¹

Step-2: Prime Factorization of 30629

Prime factors of 30629 are 109, 281. Prime factorization of 30629 in exponential form is:

30629 = 109¹ × 281¹

Step-3: Factors of 30614

List of positive integer factors of 30614 that divides 30614 without a remainder.

1, 2, 15307

Step-4: Factors of 30629

List of positive integer factors of 30629 that divides 30614 without a remainder.

1, 109, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30614 and 30629. The biggest common factor number is the GCF number.
So the greatest common factor 30614 and 30629 is 1.

Also check out the Least Common Multiple of 30614 and 30629