What is the Greatest Common Factor of 30614 and 30620?

Greatest common factor (GCF) of 30614 and 30620 is 2.

GCF(30614,30620) = 2

We will now calculate the prime factors of 30614 and 30620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30614 and 30620.

How to find the GCF of 30614 and 30620?

We will first find the prime factorization of 30614 and 30620. After we will calculate the factors of 30614 and 30620 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 30620

Prime factors of 30620 are 2, 5, 1531. Prime factorization of 30620 in exponential form is:

30620 = 2² × 5¹ × 1531¹

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 30620

List of positive integer factors of 30620 that divides 30614 without a remainder.

1, 2, 4, 5, 10, 20, 1531, 3062, 6124, 7655, 15310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30614 and 30620. The biggest common factor number is the GCF number.
So the greatest common factor 30614 and 30620 is 2.

Also check out the Least Common Multiple of 30614 and 30620