What is the Greatest Common Factor of 55536 and 55552?

Greatest common factor (GCF) of 55536 and 55552 is 16.

GCF(55536,55552) = 16

We will now calculate the prime factors of 55536 and 55552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55536 and 55552.

How to find the GCF of 55536 and 55552?

We will first find the prime factorization of 55536 and 55552. After we will calculate the factors of 55536 and 55552 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 55552

Prime factors of 55552 are 2, 7, 31. Prime factorization of 55552 in exponential form is:

55552 = 2⁸ × 7¹ × 31¹

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 55552

List of positive integer factors of 55552 that divides 55536 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 128, 217, 224, 248, 256, 434, 448, 496, 868, 896, 992, 1736, 1792, 1984, 3472, 3968, 6944, 7936, 13888, 27776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55536 and 55552. The biggest common factor number is the GCF number.
So the greatest common factor 55536 and 55552 is 16.

Also check out the Least Common Multiple of 55536 and 55552