What is the Greatest Common Factor of 54774 and 54791?

Greatest common factor (GCF) of 54774 and 54791 is 17.

GCF(54774,54791) = 17

We will now calculate the prime factors of 54774 and 54791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54774 and 54791.

How to find the GCF of 54774 and 54791?

We will first find the prime factorization of 54774 and 54791. After we will calculate the factors of 54774 and 54791 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54791

Prime factors of 54791 are 11, 17, 293. Prime factorization of 54791 in exponential form is:

54791 = 11¹ × 17¹ × 293¹

Step-3: Factors of 54774

List of positive integer factors of 54774 that divides 54774 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

Step-4: Factors of 54791

List of positive integer factors of 54791 that divides 54774 without a remainder.

1, 11, 17, 187, 293, 3223, 4981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54774 and 54791. The biggest common factor number is the GCF number.
So the greatest common factor 54774 and 54791 is 17.

Also check out the Least Common Multiple of 54774 and 54791