What is the Greatest Common Factor of 49996 and 50005?

Greatest common factor (GCF) of 49996 and 50005 is 1.

GCF(49996,50005) = 1

We will now calculate the prime factors of 49996 and 50005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49996 and 50005.

How to find the GCF of 49996 and 50005?

We will first find the prime factorization of 49996 and 50005. After we will calculate the factors of 49996 and 50005 and find the biggest common factor number .

Step-1: Prime Factorization of 49996

Prime factors of 49996 are 2, 29, 431. Prime factorization of 49996 in exponential form is:

49996 = 2² × 29¹ × 431¹

Step-2: Prime Factorization of 50005

Prime factors of 50005 are 5, 73, 137. Prime factorization of 50005 in exponential form is:

50005 = 5¹ × 73¹ × 137¹

Step-3: Factors of 49996

List of positive integer factors of 49996 that divides 49996 without a remainder.

1, 2, 4, 29, 58, 116, 431, 862, 1724, 12499, 24998

Step-4: Factors of 50005

List of positive integer factors of 50005 that divides 49996 without a remainder.

1, 5, 73, 137, 365, 685, 10001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49996 and 50005. The biggest common factor number is the GCF number.
So the greatest common factor 49996 and 50005 is 1.

Also check out the Least Common Multiple of 49996 and 50005