What is the Greatest Common Factor of 53998 and 54012?

Greatest common factor (GCF) of 53998 and 54012 is 14.

GCF(53998,54012) = 14

We will now calculate the prime factors of 53998 and 54012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53998 and 54012.

How to find the GCF of 53998 and 54012?

We will first find the prime factorization of 53998 and 54012. After we will calculate the factors of 53998 and 54012 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 54012

Prime factors of 54012 are 2, 3, 7, 643. Prime factorization of 54012 in exponential form is:

54012 = 2² × 3¹ × 7¹ × 643¹

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 54012

List of positive integer factors of 54012 that divides 53998 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 643, 1286, 1929, 2572, 3858, 4501, 7716, 9002, 13503, 18004, 27006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53998 and 54012. The biggest common factor number is the GCF number.
So the greatest common factor 53998 and 54012 is 14.

Also check out the Least Common Multiple of 53998 and 54012