What is the Greatest Common Factor of 54984 and 55001?

Greatest common factor (GCF) of 54984 and 55001 is 1.

GCF(54984,55001) = 1

We will now calculate the prime factors of 54984 and 55001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54984 and 55001.

How to find the GCF of 54984 and 55001?

We will first find the prime factorization of 54984 and 55001. After we will calculate the factors of 54984 and 55001 and find the biggest common factor number .

Step-1: Prime Factorization of 54984

Prime factors of 54984 are 2, 3, 29, 79. Prime factorization of 54984 in exponential form is:

54984 = 2³ × 3¹ × 29¹ × 79¹

Step-2: Prime Factorization of 55001

Prime factors of 55001 are 55001. Prime factorization of 55001 in exponential form is:

55001 = 55001¹

Step-3: Factors of 54984

List of positive integer factors of 54984 that divides 54984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 79, 87, 116, 158, 174, 232, 237, 316, 348, 474, 632, 696, 948, 1896, 2291, 4582, 6873, 9164, 13746, 18328, 27492

Step-4: Factors of 55001

List of positive integer factors of 55001 that divides 54984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54984 and 55001. The biggest common factor number is the GCF number.
So the greatest common factor 54984 and 55001 is 1.

Also check out the Least Common Multiple of 54984 and 55001