What is the Greatest Common Factor of 53784 and 53797?

Greatest common factor (GCF) of 53784 and 53797 is 1.

GCF(53784,53797) = 1

We will now calculate the prime factors of 53784 and 53797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53784 and 53797.

How to find the GCF of 53784 and 53797?

We will first find the prime factorization of 53784 and 53797. After we will calculate the factors of 53784 and 53797 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 53797

Prime factors of 53797 are 23, 2339. Prime factorization of 53797 in exponential form is:

53797 = 23¹ × 2339¹

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 53797

List of positive integer factors of 53797 that divides 53784 without a remainder.

1, 23, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53784 and 53797. The biggest common factor number is the GCF number.
So the greatest common factor 53784 and 53797 is 1.

Also check out the Least Common Multiple of 53784 and 53797