What is the Greatest Common Factor of 47610 and 47618?

Greatest common factor (GCF) of 47610 and 47618 is 2.

GCF(47610,47618) = 2

We will now calculate the prime factors of 47610 and 47618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47610 and 47618.

How to find the GCF of 47610 and 47618?

We will first find the prime factorization of 47610 and 47618. After we will calculate the factors of 47610 and 47618 and find the biggest common factor number .

Step-1: Prime Factorization of 47610

Prime factors of 47610 are 2, 3, 5, 23. Prime factorization of 47610 in exponential form is:

47610 = 2¹ × 3² × 5¹ × 23²

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 47610

List of positive integer factors of 47610 that divides 47610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 529, 690, 1035, 1058, 1587, 2070, 2645, 3174, 4761, 5290, 7935, 9522, 15870, 23805

Step-4: Factors of 47618

List of positive integer factors of 47618 that divides 47610 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47610 and 47618. The biggest common factor number is the GCF number.
So the greatest common factor 47610 and 47618 is 2.

Also check out the Least Common Multiple of 47610 and 47618