What is the Greatest Common Factor of 55648 and 55666?

Greatest common factor (GCF) of 55648 and 55666 is 2.

GCF(55648,55666) = 2

We will now calculate the prime factors of 55648 and 55666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55648 and 55666.

How to find the GCF of 55648 and 55666?

We will first find the prime factorization of 55648 and 55666. After we will calculate the factors of 55648 and 55666 and find the biggest common factor number .

Step-1: Prime Factorization of 55648

Prime factors of 55648 are 2, 37, 47. Prime factorization of 55648 in exponential form is:

55648 = 2⁵ × 37¹ × 47¹

Step-2: Prime Factorization of 55666

Prime factors of 55666 are 2, 13, 2141. Prime factorization of 55666 in exponential form is:

55666 = 2¹ × 13¹ × 2141¹

Step-3: Factors of 55648

List of positive integer factors of 55648 that divides 55648 without a remainder.

1, 2, 4, 8, 16, 32, 37, 47, 74, 94, 148, 188, 296, 376, 592, 752, 1184, 1504, 1739, 3478, 6956, 13912, 27824

Step-4: Factors of 55666

List of positive integer factors of 55666 that divides 55648 without a remainder.

1, 2, 13, 26, 2141, 4282, 27833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55648 and 55666. The biggest common factor number is the GCF number.
So the greatest common factor 55648 and 55666 is 2.

Also check out the Least Common Multiple of 55648 and 55666