What is the Greatest Common Factor of 49983 and 49998?

Greatest common factor (GCF) of 49983 and 49998 is 3.

GCF(49983,49998) = 3

We will now calculate the prime factors of 49983 and 49998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49983 and 49998.

How to find the GCF of 49983 and 49998?

We will first find the prime factorization of 49983 and 49998. After we will calculate the factors of 49983 and 49998 and find the biggest common factor number .

Step-1: Prime Factorization of 49983

Prime factors of 49983 are 3, 16661. Prime factorization of 49983 in exponential form is:

49983 = 3¹ × 16661¹

Step-2: Prime Factorization of 49998

Prime factors of 49998 are 2, 3, 13, 641. Prime factorization of 49998 in exponential form is:

49998 = 2¹ × 3¹ × 13¹ × 641¹

Step-3: Factors of 49983

List of positive integer factors of 49983 that divides 49983 without a remainder.

1, 3, 16661

Step-4: Factors of 49998

List of positive integer factors of 49998 that divides 49983 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 641, 1282, 1923, 3846, 8333, 16666, 24999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49983 and 49998. The biggest common factor number is the GCF number.
So the greatest common factor 49983 and 49998 is 3.

Also check out the Least Common Multiple of 49983 and 49998