What is the Greatest Common Factor of 54984 and 54998?

Greatest common factor (GCF) of 54984 and 54998 is 2.

GCF(54984,54998) = 2

We will now calculate the prime factors of 54984 and 54998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54984 and 54998.

How to find the GCF of 54984 and 54998?

We will first find the prime factorization of 54984 and 54998. After we will calculate the factors of 54984 and 54998 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 54998

Prime factors of 54998 are 2, 107, 257. Prime factorization of 54998 in exponential form is:

54998 = 2¹ × 107¹ × 257¹

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 54998

List of positive integer factors of 54998 that divides 54984 without a remainder.

1, 2, 107, 214, 257, 514, 27499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54984 and 54998. The biggest common factor number is the GCF number.
So the greatest common factor 54984 and 54998 is 2.

Also check out the Least Common Multiple of 54984 and 54998