What is the Greatest Common Factor of 55952 and 55965?

Greatest common factor (GCF) of 55952 and 55965 is 13.

GCF(55952,55965) = 13

We will now calculate the prime factors of 55952 and 55965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55952 and 55965.

How to find the GCF of 55952 and 55965?

We will first find the prime factorization of 55952 and 55965. After we will calculate the factors of 55952 and 55965 and find the biggest common factor number .

Step-1: Prime Factorization of 55952

Prime factors of 55952 are 2, 13, 269. Prime factorization of 55952 in exponential form is:

55952 = 2⁴ × 13¹ × 269¹

Step-2: Prime Factorization of 55965

Prime factors of 55965 are 3, 5, 7, 13, 41. Prime factorization of 55965 in exponential form is:

55965 = 3¹ × 5¹ × 7¹ × 13¹ × 41¹

Step-3: Factors of 55952

List of positive integer factors of 55952 that divides 55952 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 269, 538, 1076, 2152, 3497, 4304, 6994, 13988, 27976

Step-4: Factors of 55965

List of positive integer factors of 55965 that divides 55952 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 41, 65, 91, 105, 123, 195, 205, 273, 287, 455, 533, 615, 861, 1365, 1435, 1599, 2665, 3731, 4305, 7995, 11193, 18655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55952 and 55965. The biggest common factor number is the GCF number.
So the greatest common factor 55952 and 55965 is 13.

Also check out the Least Common Multiple of 55952 and 55965