What is the Greatest Common Factor of 49989 and 50008?

Greatest common factor (GCF) of 49989 and 50008 is 19.

GCF(49989,50008) = 19

We will now calculate the prime factors of 49989 and 50008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49989 and 50008.

How to find the GCF of 49989 and 50008?

We will first find the prime factorization of 49989 and 50008. After we will calculate the factors of 49989 and 50008 and find the biggest common factor number .

Step-1: Prime Factorization of 49989

Prime factors of 49989 are 3, 19, 877. Prime factorization of 49989 in exponential form is:

49989 = 3¹ × 19¹ × 877¹

Step-2: Prime Factorization of 50008

Prime factors of 50008 are 2, 7, 19, 47. Prime factorization of 50008 in exponential form is:

50008 = 2³ × 7¹ × 19¹ × 47¹

Step-3: Factors of 49989

List of positive integer factors of 49989 that divides 49989 without a remainder.

1, 3, 19, 57, 877, 2631, 16663

Step-4: Factors of 50008

List of positive integer factors of 50008 that divides 49989 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 47, 56, 76, 94, 133, 152, 188, 266, 329, 376, 532, 658, 893, 1064, 1316, 1786, 2632, 3572, 6251, 7144, 12502, 25004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49989 and 50008. The biggest common factor number is the GCF number.
So the greatest common factor 49989 and 50008 is 19.

Also check out the Least Common Multiple of 49989 and 50008