What is the Greatest Common Factor of 55614 and 55632?

Greatest common factor (GCF) of 55614 and 55632 is 6.

GCF(55614,55632) = 6

We will now calculate the prime factors of 55614 and 55632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55614 and 55632.

How to find the GCF of 55614 and 55632?

We will first find the prime factorization of 55614 and 55632. After we will calculate the factors of 55614 and 55632 and find the biggest common factor number .

Step-1: Prime Factorization of 55614

Prime factors of 55614 are 2, 3, 13, 23, 31. Prime factorization of 55614 in exponential form is:

55614 = 2¹ × 3¹ × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 55632

Prime factors of 55632 are 2, 3, 19, 61. Prime factorization of 55632 in exponential form is:

55632 = 2⁴ × 3¹ × 19¹ × 61¹

Step-3: Factors of 55614

List of positive integer factors of 55614 that divides 55614 without a remainder.

1, 2, 3, 6, 13, 23, 26, 31, 39, 46, 62, 69, 78, 93, 138, 186, 299, 403, 598, 713, 806, 897, 1209, 1426, 1794, 2139, 2418, 4278, 9269, 18538, 27807

Step-4: Factors of 55632

List of positive integer factors of 55632 that divides 55614 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 61, 76, 114, 122, 152, 183, 228, 244, 304, 366, 456, 488, 732, 912, 976, 1159, 1464, 2318, 2928, 3477, 4636, 6954, 9272, 13908, 18544, 27816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55614 and 55632. The biggest common factor number is the GCF number.
So the greatest common factor 55614 and 55632 is 6.

Also check out the Least Common Multiple of 55614 and 55632