What is the Greatest Common Factor of 49782 and 49797?

Greatest common factor (GCF) of 49782 and 49797 is 3.

GCF(49782,49797) = 3

We will now calculate the prime factors of 49782 and 49797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49782 and 49797.

How to find the GCF of 49782 and 49797?

We will first find the prime factorization of 49782 and 49797. After we will calculate the factors of 49782 and 49797 and find the biggest common factor number .

Step-1: Prime Factorization of 49782

Prime factors of 49782 are 2, 3, 8297. Prime factorization of 49782 in exponential form is:

49782 = 2¹ × 3¹ × 8297¹

Step-2: 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-3: Factors of 49782

List of positive integer factors of 49782 that divides 49782 without a remainder.

1, 2, 3, 6, 8297, 16594, 24891

Step-4: Factors of 49797

List of positive integer factors of 49797 that divides 49782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49782 and 49797. The biggest common factor number is the GCF number.
So the greatest common factor 49782 and 49797 is 3.

Also check out the Least Common Multiple of 49782 and 49797