What is the Greatest Common Factor of 49780 and 49799?

Greatest common factor (GCF) of 49780 and 49799 is 19.

GCF(49780,49799) = 19

We will now calculate the prime factors of 49780 and 49799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49780 and 49799.

How to find the GCF of 49780 and 49799?

We will first find the prime factorization of 49780 and 49799. After we will calculate the factors of 49780 and 49799 and find the biggest common factor number .

Step-1: Prime Factorization of 49780

Prime factors of 49780 are 2, 5, 19, 131. Prime factorization of 49780 in exponential form is:

49780 = 2² × 5¹ × 19¹ × 131¹

Step-2: Prime Factorization of 49799

Prime factors of 49799 are 19, 2621. Prime factorization of 49799 in exponential form is:

49799 = 19¹ × 2621¹

Step-3: Factors of 49780

List of positive integer factors of 49780 that divides 49780 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 131, 190, 262, 380, 524, 655, 1310, 2489, 2620, 4978, 9956, 12445, 24890

Step-4: Factors of 49799

List of positive integer factors of 49799 that divides 49780 without a remainder.

1, 19, 2621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49780 and 49799. The biggest common factor number is the GCF number.
So the greatest common factor 49780 and 49799 is 19.

Also check out the Least Common Multiple of 49780 and 49799