What is the Greatest Common Factor of 54978 and 54989?

Greatest common factor (GCF) of 54978 and 54989 is 11.

GCF(54978,54989) = 11

We will now calculate the prime factors of 54978 and 54989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54978 and 54989.

How to find the GCF of 54978 and 54989?

We will first find the prime factorization of 54978 and 54989. After we will calculate the factors of 54978 and 54989 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 54989

Prime factors of 54989 are 11, 4999. Prime factorization of 54989 in exponential form is:

54989 = 11¹ × 4999¹

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 54989

List of positive integer factors of 54989 that divides 54978 without a remainder.

1, 11, 4999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54978 and 54989. The biggest common factor number is the GCF number.
So the greatest common factor 54978 and 54989 is 11.

Also check out the Least Common Multiple of 54978 and 54989