What is the Greatest Common Factor of 73789 and 73808?

Greatest common factor (GCF) of 73789 and 73808 is 1.

GCF(73789,73808) = 1

We will now calculate the prime factors of 73789 and 73808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73789 and 73808.

How to find the GCF of 73789 and 73808?

We will first find the prime factorization of 73789 and 73808. After we will calculate the factors of 73789 and 73808 and find the biggest common factor number .

Step-1: Prime Factorization of 73789

Prime factors of 73789 are 113, 653. Prime factorization of 73789 in exponential form is:

73789 = 113¹ × 653¹

Step-2: Prime Factorization of 73808

Prime factors of 73808 are 2, 7, 659. Prime factorization of 73808 in exponential form is:

73808 = 2⁴ × 7¹ × 659¹

Step-3: Factors of 73789

List of positive integer factors of 73789 that divides 73789 without a remainder.

1, 113, 653

Step-4: Factors of 73808

List of positive integer factors of 73808 that divides 73789 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 659, 1318, 2636, 4613, 5272, 9226, 10544, 18452, 36904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73789 and 73808. The biggest common factor number is the GCF number.
So the greatest common factor 73789 and 73808 is 1.

Also check out the Least Common Multiple of 73789 and 73808