What is the Greatest Common Factor of 49872 and 49882?

Greatest common factor (GCF) of 49872 and 49882 is 2.

GCF(49872,49882) = 2

We will now calculate the prime factors of 49872 and 49882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49872 and 49882.

How to find the GCF of 49872 and 49882?

We will first find the prime factorization of 49872 and 49882. After we will calculate the factors of 49872 and 49882 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 49882

Prime factors of 49882 are 2, 7, 509. Prime factorization of 49882 in exponential form is:

49882 = 2¹ × 7² × 509¹

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 49882

List of positive integer factors of 49882 that divides 49872 without a remainder.

1, 2, 7, 14, 49, 98, 509, 1018, 3563, 7126, 24941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49872 and 49882. The biggest common factor number is the GCF number.
So the greatest common factor 49872 and 49882 is 2.

Also check out the Least Common Multiple of 49872 and 49882