What is the Greatest Common Factor of 47614 and 47618?

Greatest common factor (GCF) of 47614 and 47618 is 2.

GCF(47614,47618) = 2

We will now calculate the prime factors of 47614 and 47618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47614 and 47618.

How to find the GCF of 47614 and 47618?

We will first find the prime factorization of 47614 and 47618. After we will calculate the factors of 47614 and 47618 and find the biggest common factor number .

Step-1: Prime Factorization of 47614

Prime factors of 47614 are 2, 7, 19, 179. Prime factorization of 47614 in exponential form is:

47614 = 2¹ × 7¹ × 19¹ × 179¹

Step-2: Prime Factorization of 47618

Prime factors of 47618 are 2, 29, 821. Prime factorization of 47618 in exponential form is:

47618 = 2¹ × 29¹ × 821¹

Step-3: Factors of 47614

List of positive integer factors of 47614 that divides 47614 without a remainder.

1, 2, 7, 14, 19, 38, 133, 179, 266, 358, 1253, 2506, 3401, 6802, 23807

Step-4: Factors of 47618

List of positive integer factors of 47618 that divides 47614 without a remainder.

1, 2, 29, 58, 821, 1642, 23809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47614 and 47618. The biggest common factor number is the GCF number.
So the greatest common factor 47614 and 47618 is 2.

Also check out the Least Common Multiple of 47614 and 47618