What is the Greatest Common Factor of 55536 and 55549?

Greatest common factor (GCF) of 55536 and 55549 is 13.

GCF(55536,55549) = 13

We will now calculate the prime factors of 55536 and 55549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55536 and 55549.

How to find the GCF of 55536 and 55549?

We will first find the prime factorization of 55536 and 55549. After we will calculate the factors of 55536 and 55549 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55549

Prime factors of 55549 are 13, 4273. Prime factorization of 55549 in exponential form is:

55549 = 13¹ × 4273¹

Step-3: Factors of 55536

List of positive integer factors of 55536 that divides 55536 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

Step-4: Factors of 55549

List of positive integer factors of 55549 that divides 55536 without a remainder.

1, 13, 4273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55536 and 55549. The biggest common factor number is the GCF number.
So the greatest common factor 55536 and 55549 is 13.

Also check out the Least Common Multiple of 55536 and 55549