What is the Greatest Common Factor of 53998 and 54008?

Greatest common factor (GCF) of 53998 and 54008 is 2.

GCF(53998,54008) = 2

We will now calculate the prime factors of 53998 and 54008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53998 and 54008.

How to find the GCF of 53998 and 54008?

We will first find the prime factorization of 53998 and 54008. After we will calculate the factors of 53998 and 54008 and find the biggest common factor number .

Step-1: Prime Factorization of 53998

Prime factors of 53998 are 2, 7, 19, 29. Prime factorization of 53998 in exponential form is:

53998 = 2¹ × 7² × 19¹ × 29¹

Step-2: Prime Factorization of 54008

Prime factors of 54008 are 2, 43, 157. Prime factorization of 54008 in exponential form is:

54008 = 2³ × 43¹ × 157¹

Step-3: Factors of 53998

List of positive integer factors of 53998 that divides 53998 without a remainder.

1, 2, 7, 14, 19, 29, 38, 49, 58, 98, 133, 203, 266, 406, 551, 931, 1102, 1421, 1862, 2842, 3857, 7714, 26999

Step-4: Factors of 54008

List of positive integer factors of 54008 that divides 53998 without a remainder.

1, 2, 4, 8, 43, 86, 157, 172, 314, 344, 628, 1256, 6751, 13502, 27004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53998 and 54008. The biggest common factor number is the GCF number.
So the greatest common factor 53998 and 54008 is 2.

Also check out the Least Common Multiple of 53998 and 54008