What is the Greatest Common Factor of 54791 and 54802?

Greatest common factor (GCF) of 54791 and 54802 is 11.

GCF(54791,54802) = 11

We will now calculate the prime factors of 54791 and 54802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54791 and 54802.

How to find the GCF of 54791 and 54802?

We will first find the prime factorization of 54791 and 54802. After we will calculate the factors of 54791 and 54802 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54802

Prime factors of 54802 are 2, 11, 47, 53. Prime factorization of 54802 in exponential form is:

54802 = 2¹ × 11¹ × 47¹ × 53¹

Step-3: Factors of 54791

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

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

Step-4: Factors of 54802

List of positive integer factors of 54802 that divides 54791 without a remainder.

1, 2, 11, 22, 47, 53, 94, 106, 517, 583, 1034, 1166, 2491, 4982, 27401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54791 and 54802. The biggest common factor number is the GCF number.
So the greatest common factor 54791 and 54802 is 11.

Also check out the Least Common Multiple of 54791 and 54802