What is the Greatest Common Factor of 55536 and 55540?

Greatest common factor (GCF) of 55536 and 55540 is 4.

GCF(55536,55540) = 4

We will now calculate the prime factors of 55536 and 55540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55536 and 55540.

How to find the GCF of 55536 and 55540?

We will first find the prime factorization of 55536 and 55540. After we will calculate the factors of 55536 and 55540 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 55540

Prime factors of 55540 are 2, 5, 2777. Prime factorization of 55540 in exponential form is:

55540 = 2² × 5¹ × 2777¹

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 55540

List of positive integer factors of 55540 that divides 55536 without a remainder.

1, 2, 4, 5, 10, 20, 2777, 5554, 11108, 13885, 27770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55536 and 55540. The biggest common factor number is the GCF number.
So the greatest common factor 55536 and 55540 is 4.

Also check out the Least Common Multiple of 55536 and 55540