What is the Greatest Common Factor of 49797 and 49803?

Greatest common factor (GCF) of 49797 and 49803 is 3.

GCF(49797,49803) = 3

We will now calculate the prime factors of 49797 and 49803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49797 and 49803.

How to find the GCF of 49797 and 49803?

We will first find the prime factorization of 49797 and 49803. After we will calculate the factors of 49797 and 49803 and find the biggest common factor number .

Step-1: Prime Factorization of 49797

Prime factors of 49797 are 3, 11, 503. Prime factorization of 49797 in exponential form is:

49797 = 3² × 11¹ × 503¹

Step-2: Prime Factorization of 49803

Prime factors of 49803 are 3, 13, 1277. Prime factorization of 49803 in exponential form is:

49803 = 3¹ × 13¹ × 1277¹

Step-3: Factors of 49797

List of positive integer factors of 49797 that divides 49797 without a remainder.

1, 3, 9, 11, 33, 99, 503, 1509, 4527, 5533, 16599

Step-4: Factors of 49803

List of positive integer factors of 49803 that divides 49797 without a remainder.

1, 3, 13, 39, 1277, 3831, 16601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49797 and 49803. The biggest common factor number is the GCF number.
So the greatest common factor 49797 and 49803 is 3.

Also check out the Least Common Multiple of 49797 and 49803