What is the Greatest Common Factor of 54379 and 54392?

Greatest common factor (GCF) of 54379 and 54392 is 13.

GCF(54379,54392) = 13

We will now calculate the prime factors of 54379 and 54392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54379 and 54392.

How to find the GCF of 54379 and 54392?

We will first find the prime factorization of 54379 and 54392. After we will calculate the factors of 54379 and 54392 and find the biggest common factor number .

Step-1: Prime Factorization of 54379

Prime factors of 54379 are 13, 47, 89. Prime factorization of 54379 in exponential form is:

54379 = 13¹ × 47¹ × 89¹

Step-2: Prime Factorization of 54392

Prime factors of 54392 are 2, 13, 523. Prime factorization of 54392 in exponential form is:

54392 = 2³ × 13¹ × 523¹

Step-3: Factors of 54379

List of positive integer factors of 54379 that divides 54379 without a remainder.

1, 13, 47, 89, 611, 1157, 4183

Step-4: Factors of 54392

List of positive integer factors of 54392 that divides 54379 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 523, 1046, 2092, 4184, 6799, 13598, 27196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54379 and 54392. The biggest common factor number is the GCF number.
So the greatest common factor 54379 and 54392 is 13.

Also check out the Least Common Multiple of 54379 and 54392