What is the Greatest Common Factor of 55632 and 55652?

Greatest common factor (GCF) of 55632 and 55652 is 4.

GCF(55632,55652) = 4

We will now calculate the prime factors of 55632 and 55652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55632 and 55652.

How to find the GCF of 55632 and 55652?

We will first find the prime factorization of 55632 and 55652. After we will calculate the factors of 55632 and 55652 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 55652

Prime factors of 55652 are 2, 13913. Prime factorization of 55652 in exponential form is:

55652 = 2² × 13913¹

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 55652

List of positive integer factors of 55652 that divides 55632 without a remainder.

1, 2, 4, 13913, 27826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55632 and 55652. The biggest common factor number is the GCF number.
So the greatest common factor 55632 and 55652 is 4.

Also check out the Least Common Multiple of 55632 and 55652