What is the Greatest Common Factor of 53784 and 53793?

Greatest common factor (GCF) of 53784 and 53793 is 9.

GCF(53784,53793) = 9

We will now calculate the prime factors of 53784 and 53793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53784 and 53793.

How to find the GCF of 53784 and 53793?

We will first find the prime factorization of 53784 and 53793. After we will calculate the factors of 53784 and 53793 and find the biggest common factor number .

Step-1: Prime Factorization of 53784

Prime factors of 53784 are 2, 3, 83. Prime factorization of 53784 in exponential form is:

53784 = 2³ × 3⁴ × 83¹

Step-2: Prime Factorization of 53793

Prime factors of 53793 are 3, 43, 139. Prime factorization of 53793 in exponential form is:

53793 = 3² × 43¹ × 139¹

Step-3: Factors of 53784

List of positive integer factors of 53784 that divides 53784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 83, 108, 162, 166, 216, 249, 324, 332, 498, 648, 664, 747, 996, 1494, 1992, 2241, 2988, 4482, 5976, 6723, 8964, 13446, 17928, 26892

Step-4: Factors of 53793

List of positive integer factors of 53793 that divides 53784 without a remainder.

1, 3, 9, 43, 129, 139, 387, 417, 1251, 5977, 17931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53784 and 53793. The biggest common factor number is the GCF number.
So the greatest common factor 53784 and 53793 is 9.

Also check out the Least Common Multiple of 53784 and 53793