What is the Greatest Common Factor of 49872 and 49884?

Greatest common factor (GCF) of 49872 and 49884 is 12.

GCF(49872,49884) = 12

We will now calculate the prime factors of 49872 and 49884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49872 and 49884.

How to find the GCF of 49872 and 49884?

We will first find the prime factorization of 49872 and 49884. After we will calculate the factors of 49872 and 49884 and find the biggest common factor number .

Step-1: Prime Factorization of 49872

Prime factors of 49872 are 2, 3, 1039. Prime factorization of 49872 in exponential form is:

49872 = 2⁴ × 3¹ × 1039¹

Step-2: 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-3: Factors of 49872

List of positive integer factors of 49872 that divides 49872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1039, 2078, 3117, 4156, 6234, 8312, 12468, 16624, 24936

Step-4: Factors of 49884

List of positive integer factors of 49884 that divides 49872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49872 and 49884. The biggest common factor number is the GCF number.
So the greatest common factor 49872 and 49884 is 12.

Also check out the Least Common Multiple of 49872 and 49884