What is the Greatest Common Factor of 55536 and 55542?

Greatest common factor (GCF) of 55536 and 55542 is 6.

GCF(55536,55542) = 6

We will now calculate the prime factors of 55536 and 55542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55536 and 55542.

How to find the GCF of 55536 and 55542?

We will first find the prime factorization of 55536 and 55542. After we will calculate the factors of 55536 and 55542 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 55542

Prime factors of 55542 are 2, 3, 9257. Prime factorization of 55542 in exponential form is:

55542 = 2¹ × 3¹ × 9257¹

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 55542

List of positive integer factors of 55542 that divides 55536 without a remainder.

1, 2, 3, 6, 9257, 18514, 27771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55536 and 55542. The biggest common factor number is the GCF number.
So the greatest common factor 55536 and 55542 is 6.

Also check out the Least Common Multiple of 55536 and 55542