What is the Greatest Common Factor of 53792 and 53812?

Greatest common factor (GCF) of 53792 and 53812 is 4.

GCF(53792,53812) = 4

We will now calculate the prime factors of 53792 and 53812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53792 and 53812.

How to find the GCF of 53792 and 53812?

We will first find the prime factorization of 53792 and 53812. After we will calculate the factors of 53792 and 53812 and find the biggest common factor number .

Step-1: Prime Factorization of 53792

Prime factors of 53792 are 2, 41. Prime factorization of 53792 in exponential form is:

53792 = 2⁵ × 41²

Step-2: Prime Factorization of 53812

Prime factors of 53812 are 2, 11, 1223. Prime factorization of 53812 in exponential form is:

53812 = 2² × 11¹ × 1223¹

Step-3: Factors of 53792

List of positive integer factors of 53792 that divides 53792 without a remainder.

1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312, 1681, 3362, 6724, 13448, 26896

Step-4: Factors of 53812

List of positive integer factors of 53812 that divides 53792 without a remainder.

1, 2, 4, 11, 22, 44, 1223, 2446, 4892, 13453, 26906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53792 and 53812. The biggest common factor number is the GCF number.
So the greatest common factor 53792 and 53812 is 4.

Also check out the Least Common Multiple of 53792 and 53812