What is the Greatest Common Factor of 55536 and 55551?

Greatest common factor (GCF) of 55536 and 55551 is 3.

GCF(55536,55551) = 3

We will now calculate the prime factors of 55536 and 55551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55536 and 55551.

How to find the GCF of 55536 and 55551?

We will first find the prime factorization of 55536 and 55551. After we will calculate the factors of 55536 and 55551 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 55551

Prime factors of 55551 are 3, 18517. Prime factorization of 55551 in exponential form is:

55551 = 3¹ × 18517¹

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 55551

List of positive integer factors of 55551 that divides 55536 without a remainder.

1, 3, 18517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55536 and 55551. The biggest common factor number is the GCF number.
So the greatest common factor 55536 and 55551 is 3.

Also check out the Least Common Multiple of 55536 and 55551