What is the Greatest Common Factor of 54757 and 54774?

Greatest common factor (GCF) of 54757 and 54774 is 17.

GCF(54757,54774) = 17

We will now calculate the prime factors of 54757 and 54774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54757 and 54774.

How to find the GCF of 54757 and 54774?

We will first find the prime factorization of 54757 and 54774. After we will calculate the factors of 54757 and 54774 and find the biggest common factor number .

Step-1: Prime Factorization of 54757

Prime factors of 54757 are 17, 3221. Prime factorization of 54757 in exponential form is:

54757 = 17¹ × 3221¹

Step-2: Prime Factorization of 54774

Prime factors of 54774 are 2, 3, 17, 179. Prime factorization of 54774 in exponential form is:

54774 = 2¹ × 3² × 17¹ × 179¹

Step-3: Factors of 54757

List of positive integer factors of 54757 that divides 54757 without a remainder.

1, 17, 3221

Step-4: Factors of 54774

List of positive integer factors of 54774 that divides 54757 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 179, 306, 358, 537, 1074, 1611, 3043, 3222, 6086, 9129, 18258, 27387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54757 and 54774. The biggest common factor number is the GCF number.
So the greatest common factor 54757 and 54774 is 17.

Also check out the Least Common Multiple of 54757 and 54774