What is the Greatest Common Factor of 73776 and 73783?

Greatest common factor (GCF) of 73776 and 73783 is 1.

GCF(73776,73783) = 1

We will now calculate the prime factors of 73776 and 73783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73776 and 73783.

How to find the GCF of 73776 and 73783?

We will first find the prime factorization of 73776 and 73783. After we will calculate the factors of 73776 and 73783 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 73783

Prime factors of 73783 are 73783. Prime factorization of 73783 in exponential form is:

73783 = 73783¹

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 73783

List of positive integer factors of 73783 that divides 73776 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73776 and 73783. The biggest common factor number is the GCF number.
So the greatest common factor 73776 and 73783 is 1.

Also check out the Least Common Multiple of 73776 and 73783