What is the Greatest Common Factor of 54824 and 54838?

Greatest common factor (GCF) of 54824 and 54838 is 14.

GCF(54824,54838) = 14

We will now calculate the prime factors of 54824 and 54838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54824 and 54838.

How to find the GCF of 54824 and 54838?

We will first find the prime factorization of 54824 and 54838. After we will calculate the factors of 54824 and 54838 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 54838

Prime factors of 54838 are 2, 7, 3917. Prime factorization of 54838 in exponential form is:

54838 = 2¹ × 7¹ × 3917¹

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 54838

List of positive integer factors of 54838 that divides 54824 without a remainder.

1, 2, 7, 14, 3917, 7834, 27419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54824 and 54838. The biggest common factor number is the GCF number.
So the greatest common factor 54824 and 54838 is 14.

Also check out the Least Common Multiple of 54824 and 54838