What is the Greatest Common Factor of 50600 and 50618?

Greatest common factor (GCF) of 50600 and 50618 is 2.

GCF(50600,50618) = 2

We will now calculate the prime factors of 50600 and 50618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50600 and 50618.

How to find the GCF of 50600 and 50618?

We will first find the prime factorization of 50600 and 50618. After we will calculate the factors of 50600 and 50618 and find the biggest common factor number .

Step-1: Prime Factorization of 50600

Prime factors of 50600 are 2, 5, 11, 23. Prime factorization of 50600 in exponential form is:

50600 = 2³ × 5² × 11¹ × 23¹

Step-2: Prime Factorization of 50618

Prime factors of 50618 are 2, 25309. Prime factorization of 50618 in exponential form is:

50618 = 2¹ × 25309¹

Step-3: Factors of 50600

List of positive integer factors of 50600 that divides 50600 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 23, 25, 40, 44, 46, 50, 55, 88, 92, 100, 110, 115, 184, 200, 220, 230, 253, 275, 440, 460, 506, 550, 575, 920, 1012, 1100, 1150, 1265, 2024, 2200, 2300, 2530, 4600, 5060, 6325, 10120, 12650, 25300

Step-4: Factors of 50618

List of positive integer factors of 50618 that divides 50600 without a remainder.

1, 2, 25309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50600 and 50618. The biggest common factor number is the GCF number.
So the greatest common factor 50600 and 50618 is 2.

Also check out the Least Common Multiple of 50600 and 50618