What is the Greatest Common Factor of 49994 and 50008?

Greatest common factor (GCF) of 49994 and 50008 is 14.

GCF(49994,50008) = 14

We will now calculate the prime factors of 49994 and 50008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49994 and 50008.

How to find the GCF of 49994 and 50008?

We will first find the prime factorization of 49994 and 50008. After we will calculate the factors of 49994 and 50008 and find the biggest common factor number .

Step-1: Prime Factorization of 49994

Prime factors of 49994 are 2, 7, 3571. Prime factorization of 49994 in exponential form is:

49994 = 2¹ × 7¹ × 3571¹

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 49994

List of positive integer factors of 49994 that divides 49994 without a remainder.

1, 2, 7, 14, 3571, 7142, 24997

Step-4: Factors of 50008

List of positive integer factors of 50008 that divides 49994 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 49994 and 50008. The biggest common factor number is the GCF number.
So the greatest common factor 49994 and 50008 is 14.

Also check out the Least Common Multiple of 49994 and 50008