What is the Greatest Common Factor of 49800 and 49811?

Greatest common factor (GCF) of 49800 and 49811 is 1.

GCF(49800,49811) = 1

We will now calculate the prime factors of 49800 and 49811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49800 and 49811.

How to find the GCF of 49800 and 49811?

We will first find the prime factorization of 49800 and 49811. After we will calculate the factors of 49800 and 49811 and find the biggest common factor number .

Step-1: Prime Factorization of 49800

Prime factors of 49800 are 2, 3, 5, 83. Prime factorization of 49800 in exponential form is:

49800 = 2³ × 3¹ × 5² × 83¹

Step-2: Prime Factorization of 49811

Prime factors of 49811 are 49811. Prime factorization of 49811 in exponential form is:

49811 = 49811¹

Step-3: Factors of 49800

List of positive integer factors of 49800 that divides 49800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 83, 100, 120, 150, 166, 200, 249, 300, 332, 415, 498, 600, 664, 830, 996, 1245, 1660, 1992, 2075, 2490, 3320, 4150, 4980, 6225, 8300, 9960, 12450, 16600, 24900

Step-4: Factors of 49811

List of positive integer factors of 49811 that divides 49800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49800 and 49811. The biggest common factor number is the GCF number.
So the greatest common factor 49800 and 49811 is 1.

Also check out the Least Common Multiple of 49800 and 49811