What is the Greatest Common Factor of 55278 and 55298?

Greatest common factor (GCF) of 55278 and 55298 is 2.

GCF(55278,55298) = 2

We will now calculate the prime factors of 55278 and 55298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55278 and 55298.

How to find the GCF of 55278 and 55298?

We will first find the prime factorization of 55278 and 55298. After we will calculate the factors of 55278 and 55298 and find the biggest common factor number .

Step-1: Prime Factorization of 55278

Prime factors of 55278 are 2, 3, 37, 83. Prime factorization of 55278 in exponential form is:

55278 = 2¹ × 3² × 37¹ × 83¹

Step-2: Prime Factorization of 55298

Prime factors of 55298 are 2, 43, 643. Prime factorization of 55298 in exponential form is:

55298 = 2¹ × 43¹ × 643¹

Step-3: Factors of 55278

List of positive integer factors of 55278 that divides 55278 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 83, 111, 166, 222, 249, 333, 498, 666, 747, 1494, 3071, 6142, 9213, 18426, 27639

Step-4: Factors of 55298

List of positive integer factors of 55298 that divides 55278 without a remainder.

1, 2, 43, 86, 643, 1286, 27649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55278 and 55298. The biggest common factor number is the GCF number.
So the greatest common factor 55278 and 55298 is 2.

Also check out the Least Common Multiple of 55278 and 55298