What is the Greatest Common Factor of 53560 and 53568?

Greatest common factor (GCF) of 53560 and 53568 is 8.

GCF(53560,53568) = 8

We will now calculate the prime factors of 53560 and 53568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53560 and 53568.

How to find the GCF of 53560 and 53568?

We will first find the prime factorization of 53560 and 53568. After we will calculate the factors of 53560 and 53568 and find the biggest common factor number .

Step-1: Prime Factorization of 53560

Prime factors of 53560 are 2, 5, 13, 103. Prime factorization of 53560 in exponential form is:

53560 = 2³ × 5¹ × 13¹ × 103¹

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 53560

List of positive integer factors of 53560 that divides 53560 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 103, 104, 130, 206, 260, 412, 515, 520, 824, 1030, 1339, 2060, 2678, 4120, 5356, 6695, 10712, 13390, 26780

Step-4: Factors of 53568

List of positive integer factors of 53568 that divides 53560 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 53560 and 53568. The biggest common factor number is the GCF number.
So the greatest common factor 53560 and 53568 is 8.

Also check out the Least Common Multiple of 53560 and 53568