What is the Greatest Common Factor of 49780 and 49792?

Greatest common factor (GCF) of 49780 and 49792 is 4.

GCF(49780,49792) = 4

We will now calculate the prime factors of 49780 and 49792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49780 and 49792.

How to find the GCF of 49780 and 49792?

We will first find the prime factorization of 49780 and 49792. After we will calculate the factors of 49780 and 49792 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 49792

Prime factors of 49792 are 2, 389. Prime factorization of 49792 in exponential form is:

49792 = 2⁷ × 389¹

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 49792

List of positive integer factors of 49792 that divides 49780 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 389, 778, 1556, 3112, 6224, 12448, 24896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49780 and 49792. The biggest common factor number is the GCF number.
So the greatest common factor 49780 and 49792 is 4.

Also check out the Least Common Multiple of 49780 and 49792