What is the Greatest Common Factor of 53556 and 53568?

Greatest common factor (GCF) of 53556 and 53568 is 12.

GCF(53556,53568) = 12

We will now calculate the prime factors of 53556 and 53568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53556 and 53568.

How to find the GCF of 53556 and 53568?

We will first find the prime factorization of 53556 and 53568. After we will calculate the factors of 53556 and 53568 and find the biggest common factor number .

Step-1: Prime Factorization of 53556

Prime factors of 53556 are 2, 3, 4463. Prime factorization of 53556 in exponential form is:

53556 = 2² × 3¹ × 4463¹

Step-2: Prime Factorization of 53568

Prime factors of 53568 are 2, 3, 31. Prime factorization of 53568 in exponential form is:

53568 = 2⁶ × 3³ × 31¹

Step-3: Factors of 53556

List of positive integer factors of 53556 that divides 53556 without a remainder.

1, 2, 3, 4, 6, 12, 4463, 8926, 13389, 17852, 26778

Step-4: Factors of 53568

List of positive integer factors of 53568 that divides 53556 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48, 54, 62, 64, 72, 93, 96, 108, 124, 144, 186, 192, 216, 248, 279, 288, 372, 432, 496, 558, 576, 744, 837, 864, 992, 1116, 1488, 1674, 1728, 1984, 2232, 2976, 3348, 4464, 5952, 6696, 8928, 13392, 17856, 26784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53556 and 53568. The biggest common factor number is the GCF number.
So the greatest common factor 53556 and 53568 is 12.

Also check out the Least Common Multiple of 53556 and 53568