What is the Greatest Common Factor of 55648 and 55654?

Greatest common factor (GCF) of 55648 and 55654 is 2.

GCF(55648,55654) = 2

We will now calculate the prime factors of 55648 and 55654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55648 and 55654.

How to find the GCF of 55648 and 55654?

We will first find the prime factorization of 55648 and 55654. After we will calculate the factors of 55648 and 55654 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 55654

Prime factors of 55654 are 2, 27827. Prime factorization of 55654 in exponential form is:

55654 = 2¹ × 27827¹

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 55654

List of positive integer factors of 55654 that divides 55648 without a remainder.

1, 2, 27827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55648 and 55654. The biggest common factor number is the GCF number.
So the greatest common factor 55648 and 55654 is 2.

Also check out the Least Common Multiple of 55648 and 55654