What is the Greatest Common Factor of 54824 and 54836?

Greatest common factor (GCF) of 54824 and 54836 is 4.

GCF(54824,54836) = 4

We will now calculate the prime factors of 54824 and 54836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54824 and 54836.

How to find the GCF of 54824 and 54836?

We will first find the prime factorization of 54824 and 54836. After we will calculate the factors of 54824 and 54836 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 54836

Prime factors of 54836 are 2, 13709. Prime factorization of 54836 in exponential form is:

54836 = 2² × 13709¹

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 54836

List of positive integer factors of 54836 that divides 54824 without a remainder.

1, 2, 4, 13709, 27418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54824 and 54836. The biggest common factor number is the GCF number.
So the greatest common factor 54824 and 54836 is 4.

Also check out the Least Common Multiple of 54824 and 54836