What is the Greatest Common Factor of 30614 and 30632?

Greatest common factor (GCF) of 30614 and 30632 is 2.

GCF(30614,30632) = 2

We will now calculate the prime factors of 30614 and 30632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30614 and 30632.

How to find the GCF of 30614 and 30632?

We will first find the prime factorization of 30614 and 30632. After we will calculate the factors of 30614 and 30632 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 30632

Prime factors of 30632 are 2, 7, 547. Prime factorization of 30632 in exponential form is:

30632 = 2³ × 7¹ × 547¹

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 30632

List of positive integer factors of 30632 that divides 30614 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 547, 1094, 2188, 3829, 4376, 7658, 15316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30614 and 30632. The biggest common factor number is the GCF number.
So the greatest common factor 30614 and 30632 is 2.

Also check out the Least Common Multiple of 30614 and 30632