What is the Greatest Common Factor of 55523 and 55536?

Greatest common factor (GCF) of 55523 and 55536 is 13.

GCF(55523,55536) = 13

We will now calculate the prime factors of 55523 and 55536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55523 and 55536.

How to find the GCF of 55523 and 55536?

We will first find the prime factorization of 55523 and 55536. After we will calculate the factors of 55523 and 55536 and find the biggest common factor number .

Step-1: Prime Factorization of 55523

Prime factors of 55523 are 13, 4271. Prime factorization of 55523 in exponential form is:

55523 = 13¹ × 4271¹

Step-2: Prime Factorization of 55536

Prime factors of 55536 are 2, 3, 13, 89. Prime factorization of 55536 in exponential form is:

55536 = 2⁴ × 3¹ × 13¹ × 89¹

Step-3: Factors of 55523

List of positive integer factors of 55523 that divides 55523 without a remainder.

1, 13, 4271

Step-4: Factors of 55536

List of positive integer factors of 55536 that divides 55523 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 89, 104, 156, 178, 208, 267, 312, 356, 534, 624, 712, 1068, 1157, 1424, 2136, 2314, 3471, 4272, 4628, 6942, 9256, 13884, 18512, 27768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55523 and 55536. The biggest common factor number is the GCF number.
So the greatest common factor 55523 and 55536 is 13.

Also check out the Least Common Multiple of 55523 and 55536