What is the Greatest Common Factor of 49987 and 50001?

Greatest common factor (GCF) of 49987 and 50001 is 7.

GCF(49987,50001) = 7

We will now calculate the prime factors of 49987 and 50001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49987 and 50001.

How to find the GCF of 49987 and 50001?

We will first find the prime factorization of 49987 and 50001. After we will calculate the factors of 49987 and 50001 and find the biggest common factor number .

Step-1: Prime Factorization of 49987

Prime factors of 49987 are 7, 37, 193. Prime factorization of 49987 in exponential form is:

49987 = 7¹ × 37¹ × 193¹

Step-2: Prime Factorization of 50001

Prime factors of 50001 are 3, 7, 2381. Prime factorization of 50001 in exponential form is:

50001 = 3¹ × 7¹ × 2381¹

Step-3: Factors of 49987

List of positive integer factors of 49987 that divides 49987 without a remainder.

1, 7, 37, 193, 259, 1351, 7141

Step-4: Factors of 50001

List of positive integer factors of 50001 that divides 49987 without a remainder.

1, 3, 7, 21, 2381, 7143, 16667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49987 and 50001. The biggest common factor number is the GCF number.
So the greatest common factor 49987 and 50001 is 7.

Also check out the Least Common Multiple of 49987 and 50001