What is the Greatest Common Factor of 55632 and 55651?

Greatest common factor (GCF) of 55632 and 55651 is 19.

GCF(55632,55651) = 19

We will now calculate the prime factors of 55632 and 55651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55632 and 55651.

How to find the GCF of 55632 and 55651?

We will first find the prime factorization of 55632 and 55651. After we will calculate the factors of 55632 and 55651 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55651

Prime factors of 55651 are 19, 29, 101. Prime factorization of 55651 in exponential form is:

55651 = 19¹ × 29¹ × 101¹

Step-3: Factors of 55632

List of positive integer factors of 55632 that divides 55632 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

Step-4: Factors of 55651

List of positive integer factors of 55651 that divides 55632 without a remainder.

1, 19, 29, 101, 551, 1919, 2929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55632 and 55651. The biggest common factor number is the GCF number.
So the greatest common factor 55632 and 55651 is 19.

Also check out the Least Common Multiple of 55632 and 55651