What is the Greatest Common Factor of 49884 and 49904?

Greatest common factor (GCF) of 49884 and 49904 is 4.

GCF(49884,49904) = 4

We will now calculate the prime factors of 49884 and 49904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49884 and 49904.

How to find the GCF of 49884 and 49904?

We will first find the prime factorization of 49884 and 49904. After we will calculate the factors of 49884 and 49904 and find the biggest common factor number .

Step-1: Prime Factorization of 49884

Prime factors of 49884 are 2, 3, 4157. Prime factorization of 49884 in exponential form is:

49884 = 2² × 3¹ × 4157¹

Step-2: Prime Factorization of 49904

Prime factors of 49904 are 2, 3119. Prime factorization of 49904 in exponential form is:

49904 = 2⁴ × 3119¹

Step-3: Factors of 49884

List of positive integer factors of 49884 that divides 49884 without a remainder.

1, 2, 3, 4, 6, 12, 4157, 8314, 12471, 16628, 24942

Step-4: Factors of 49904

List of positive integer factors of 49904 that divides 49884 without a remainder.

1, 2, 4, 8, 16, 3119, 6238, 12476, 24952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49884 and 49904. The biggest common factor number is the GCF number.
So the greatest common factor 49884 and 49904 is 4.

Also check out the Least Common Multiple of 49884 and 49904