What is the Greatest Common Factor of 54978 and 54998?

Greatest common factor (GCF) of 54978 and 54998 is 2.

GCF(54978,54998) = 2

We will now calculate the prime factors of 54978 and 54998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54978 and 54998.

How to find the GCF of 54978 and 54998?

We will first find the prime factorization of 54978 and 54998. After we will calculate the factors of 54978 and 54998 and find the biggest common factor number .

Step-1: Prime Factorization of 54978

Prime factors of 54978 are 2, 3, 7, 11, 17. Prime factorization of 54978 in exponential form is:

54978 = 2¹ × 3¹ × 7² × 11¹ × 17¹

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 54978

List of positive integer factors of 54978 that divides 54978 without a remainder.

1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 49, 51, 66, 77, 98, 102, 119, 147, 154, 187, 231, 238, 294, 357, 374, 462, 539, 561, 714, 833, 1078, 1122, 1309, 1617, 1666, 2499, 2618, 3234, 3927, 4998, 7854, 9163, 18326, 27489

Step-4: Factors of 54998

List of positive integer factors of 54998 that divides 54978 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54978 and 54998. The biggest common factor number is the GCF number.
So the greatest common factor 54978 and 54998 is 2.

Also check out the Least Common Multiple of 54978 and 54998