What is the Greatest Common Factor of 55536 and 55544?

Greatest common factor (GCF) of 55536 and 55544 is 8.

GCF(55536,55544) = 8

We will now calculate the prime factors of 55536 and 55544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55536 and 55544.

How to find the GCF of 55536 and 55544?

We will first find the prime factorization of 55536 and 55544. After we will calculate the factors of 55536 and 55544 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 55544

Prime factors of 55544 are 2, 53, 131. Prime factorization of 55544 in exponential form is:

55544 = 2³ × 53¹ × 131¹

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 55544

List of positive integer factors of 55544 that divides 55536 without a remainder.

1, 2, 4, 8, 53, 106, 131, 212, 262, 424, 524, 1048, 6943, 13886, 27772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55536 and 55544. The biggest common factor number is the GCF number.
So the greatest common factor 55536 and 55544 is 8.

Also check out the Least Common Multiple of 55536 and 55544