What is the Greatest Common Factor of 53600 and 53612?

Greatest common factor (GCF) of 53600 and 53612 is 4.

GCF(53600,53612) = 4

We will now calculate the prime factors of 53600 and 53612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53600 and 53612.

How to find the GCF of 53600 and 53612?

We will first find the prime factorization of 53600 and 53612. After we will calculate the factors of 53600 and 53612 and find the biggest common factor number .

Step-1: Prime Factorization of 53600

Prime factors of 53600 are 2, 5, 67. Prime factorization of 53600 in exponential form is:

53600 = 2⁵ × 5² × 67¹

Step-2: Prime Factorization of 53612

Prime factors of 53612 are 2, 13, 1031. Prime factorization of 53612 in exponential form is:

53612 = 2² × 13¹ × 1031¹

Step-3: Factors of 53600

List of positive integer factors of 53600 that divides 53600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 67, 80, 100, 134, 160, 200, 268, 335, 400, 536, 670, 800, 1072, 1340, 1675, 2144, 2680, 3350, 5360, 6700, 10720, 13400, 26800

Step-4: Factors of 53612

List of positive integer factors of 53612 that divides 53600 without a remainder.

1, 2, 4, 13, 26, 52, 1031, 2062, 4124, 13403, 26806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53600 and 53612. The biggest common factor number is the GCF number.
So the greatest common factor 53600 and 53612 is 4.

Also check out the Least Common Multiple of 53600 and 53612