What is the Greatest Common Factor of 54077 and 54094?

Greatest common factor (GCF) of 54077 and 54094 is 17.

GCF(54077,54094) = 17

We will now calculate the prime factors of 54077 and 54094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54077 and 54094.

How to find the GCF of 54077 and 54094?

We will first find the prime factorization of 54077 and 54094. After we will calculate the factors of 54077 and 54094 and find the biggest common factor number .

Step-1: Prime Factorization of 54077

Prime factors of 54077 are 17, 3181. Prime factorization of 54077 in exponential form is:

54077 = 17¹ × 3181¹

Step-2: Prime Factorization of 54094

Prime factors of 54094 are 2, 17, 37, 43. Prime factorization of 54094 in exponential form is:

54094 = 2¹ × 17¹ × 37¹ × 43¹

Step-3: Factors of 54077

List of positive integer factors of 54077 that divides 54077 without a remainder.

1, 17, 3181

Step-4: Factors of 54094

List of positive integer factors of 54094 that divides 54077 without a remainder.

1, 2, 17, 34, 37, 43, 74, 86, 629, 731, 1258, 1462, 1591, 3182, 27047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54077 and 54094. The biggest common factor number is the GCF number.
So the greatest common factor 54077 and 54094 is 17.

Also check out the Least Common Multiple of 54077 and 54094