What is the Greatest Common Factor of 53552 and 53568?

Greatest common factor (GCF) of 53552 and 53568 is 16.

GCF(53552,53568) = 16

We will now calculate the prime factors of 53552 and 53568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53552 and 53568.

How to find the GCF of 53552 and 53568?

We will first find the prime factorization of 53552 and 53568. After we will calculate the factors of 53552 and 53568 and find the biggest common factor number .

Step-1: Prime Factorization of 53552

Prime factors of 53552 are 2, 3347. Prime factorization of 53552 in exponential form is:

53552 = 2⁴ × 3347¹

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 53552

List of positive integer factors of 53552 that divides 53552 without a remainder.

1, 2, 4, 8, 16, 3347, 6694, 13388, 26776

Step-4: Factors of 53568

List of positive integer factors of 53568 that divides 53552 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 53552 and 53568. The biggest common factor number is the GCF number.
So the greatest common factor 53552 and 53568 is 16.

Also check out the Least Common Multiple of 53552 and 53568