What is the Greatest Common Factor of 54824 and 54843?

Greatest common factor (GCF) of 54824 and 54843 is 1.

GCF(54824,54843) = 1

We will now calculate the prime factors of 54824 and 54843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54824 and 54843.

How to find the GCF of 54824 and 54843?

We will first find the prime factorization of 54824 and 54843. After we will calculate the factors of 54824 and 54843 and find the biggest common factor number .

Step-1: Prime Factorization of 54824

Prime factors of 54824 are 2, 7, 11, 89. Prime factorization of 54824 in exponential form is:

54824 = 2³ × 7¹ × 11¹ × 89¹

Step-2: Prime Factorization of 54843

Prime factors of 54843 are 3, 101, 181. Prime factorization of 54843 in exponential form is:

54843 = 3¹ × 101¹ × 181¹

Step-3: Factors of 54824

List of positive integer factors of 54824 that divides 54824 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 89, 154, 178, 308, 356, 616, 623, 712, 979, 1246, 1958, 2492, 3916, 4984, 6853, 7832, 13706, 27412

Step-4: Factors of 54843

List of positive integer factors of 54843 that divides 54824 without a remainder.

1, 3, 101, 181, 303, 543, 18281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54824 and 54843. The biggest common factor number is the GCF number.
So the greatest common factor 54824 and 54843 is 1.

Also check out the Least Common Multiple of 54824 and 54843