What is the Greatest Common Factor of 54278 and 54296?

Greatest common factor (GCF) of 54278 and 54296 is 2.

GCF(54278,54296) = 2

We will now calculate the prime factors of 54278 and 54296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54278 and 54296.

How to find the GCF of 54278 and 54296?

We will first find the prime factorization of 54278 and 54296. After we will calculate the factors of 54278 and 54296 and find the biggest common factor number .

Step-1: Prime Factorization of 54278

Prime factors of 54278 are 2, 7, 3877. Prime factorization of 54278 in exponential form is:

54278 = 2¹ × 7¹ × 3877¹

Step-2: Prime Factorization of 54296

Prime factors of 54296 are 2, 11, 617. Prime factorization of 54296 in exponential form is:

54296 = 2³ × 11¹ × 617¹

Step-3: Factors of 54278

List of positive integer factors of 54278 that divides 54278 without a remainder.

1, 2, 7, 14, 3877, 7754, 27139

Step-4: Factors of 54296

List of positive integer factors of 54296 that divides 54278 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 617, 1234, 2468, 4936, 6787, 13574, 27148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54278 and 54296. The biggest common factor number is the GCF number.
So the greatest common factor 54278 and 54296 is 2.

Also check out the Least Common Multiple of 54278 and 54296