What is the Greatest Common Factor of 49984 and 50004?

Greatest common factor (GCF) of 49984 and 50004 is 4.

GCF(49984,50004) = 4

We will now calculate the prime factors of 49984 and 50004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49984 and 50004.

How to find the GCF of 49984 and 50004?

We will first find the prime factorization of 49984 and 50004. After we will calculate the factors of 49984 and 50004 and find the biggest common factor number .

Step-1: Prime Factorization of 49984

Prime factors of 49984 are 2, 11, 71. Prime factorization of 49984 in exponential form is:

49984 = 2⁶ × 11¹ × 71¹

Step-2: Prime Factorization of 50004

Prime factors of 50004 are 2, 3, 463. Prime factorization of 50004 in exponential form is:

50004 = 2² × 3³ × 463¹

Step-3: Factors of 49984

List of positive integer factors of 49984 that divides 49984 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 71, 88, 142, 176, 284, 352, 568, 704, 781, 1136, 1562, 2272, 3124, 4544, 6248, 12496, 24992

Step-4: Factors of 50004

List of positive integer factors of 50004 that divides 49984 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 463, 926, 1389, 1852, 2778, 4167, 5556, 8334, 12501, 16668, 25002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49984 and 50004. The biggest common factor number is the GCF number.
So the greatest common factor 49984 and 50004 is 4.

Also check out the Least Common Multiple of 49984 and 50004