What is the Greatest Common Factor of 55628 and 55648?

Greatest common factor (GCF) of 55628 and 55648 is 4.

GCF(55628,55648) = 4

We will now calculate the prime factors of 55628 and 55648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55628 and 55648.

How to find the GCF of 55628 and 55648?

We will first find the prime factorization of 55628 and 55648. After we will calculate the factors of 55628 and 55648 and find the biggest common factor number .

Step-1: Prime Factorization of 55628

Prime factors of 55628 are 2, 13907. Prime factorization of 55628 in exponential form is:

55628 = 2² × 13907¹

Step-2: 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-3: Factors of 55628

List of positive integer factors of 55628 that divides 55628 without a remainder.

1, 2, 4, 13907, 27814

Step-4: Factors of 55648

List of positive integer factors of 55648 that divides 55628 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55628 and 55648. The biggest common factor number is the GCF number.
So the greatest common factor 55628 and 55648 is 4.

Also check out the Least Common Multiple of 55628 and 55648