What is the Greatest Common Factor of 73776 and 73793?

Greatest common factor (GCF) of 73776 and 73793 is 1.

GCF(73776,73793) = 1

We will now calculate the prime factors of 73776 and 73793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73776 and 73793.

How to find the GCF of 73776 and 73793?

We will first find the prime factorization of 73776 and 73793. After we will calculate the factors of 73776 and 73793 and find the biggest common factor number .

Step-1: Prime Factorization of 73776

Prime factors of 73776 are 2, 3, 29, 53. Prime factorization of 73776 in exponential form is:

73776 = 2⁴ × 3¹ × 29¹ × 53¹

Step-2: Prime Factorization of 73793

Prime factors of 73793 are 109, 677. Prime factorization of 73793 in exponential form is:

73793 = 109¹ × 677¹

Step-3: Factors of 73776

List of positive integer factors of 73776 that divides 73776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 53, 58, 87, 106, 116, 159, 174, 212, 232, 318, 348, 424, 464, 636, 696, 848, 1272, 1392, 1537, 2544, 3074, 4611, 6148, 9222, 12296, 18444, 24592, 36888

Step-4: Factors of 73793

List of positive integer factors of 73793 that divides 73776 without a remainder.

1, 109, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73776 and 73793. The biggest common factor number is the GCF number.
So the greatest common factor 73776 and 73793 is 1.

Also check out the Least Common Multiple of 73776 and 73793