What is the Greatest Common Factor of 73776 and 73792?

Greatest common factor (GCF) of 73776 and 73792 is 16.

GCF(73776,73792) = 16

We will now calculate the prime factors of 73776 and 73792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73776 and 73792.

How to find the GCF of 73776 and 73792?

We will first find the prime factorization of 73776 and 73792. After we will calculate the factors of 73776 and 73792 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 73792

Prime factors of 73792 are 2, 1153. Prime factorization of 73792 in exponential form is:

73792 = 2⁶ × 1153¹

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 73792

List of positive integer factors of 73792 that divides 73776 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1153, 2306, 4612, 9224, 18448, 36896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73776 and 73792. The biggest common factor number is the GCF number.
So the greatest common factor 73776 and 73792 is 16.

Also check out the Least Common Multiple of 73776 and 73792