What is the Greatest Common Factor of 54278 and 54282?

Greatest common factor (GCF) of 54278 and 54282 is 2.

GCF(54278,54282) = 2

We will now calculate the prime factors of 54278 and 54282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54278 and 54282.

How to find the GCF of 54278 and 54282?

We will first find the prime factorization of 54278 and 54282. After we will calculate the factors of 54278 and 54282 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 54282

Prime factors of 54282 are 2, 3, 83, 109. Prime factorization of 54282 in exponential form is:

54282 = 2¹ × 3¹ × 83¹ × 109¹

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 54282

List of positive integer factors of 54282 that divides 54278 without a remainder.

1, 2, 3, 6, 83, 109, 166, 218, 249, 327, 498, 654, 9047, 18094, 27141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54278 and 54282. The biggest common factor number is the GCF number.
So the greatest common factor 54278 and 54282 is 2.

Also check out the Least Common Multiple of 54278 and 54282