What is the Greatest Common Factor of 73760 and 73777?

Greatest common factor (GCF) of 73760 and 73777 is 1.

GCF(73760,73777) = 1

We will now calculate the prime factors of 73760 and 73777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73760 and 73777.

How to find the GCF of 73760 and 73777?

We will first find the prime factorization of 73760 and 73777. After we will calculate the factors of 73760 and 73777 and find the biggest common factor number .

Step-1: Prime Factorization of 73760

Prime factors of 73760 are 2, 5, 461. Prime factorization of 73760 in exponential form is:

73760 = 2⁵ × 5¹ × 461¹

Step-2: Prime Factorization of 73777

Prime factors of 73777 are 11, 19, 353. Prime factorization of 73777 in exponential form is:

73777 = 11¹ × 19¹ × 353¹

Step-3: Factors of 73760

List of positive integer factors of 73760 that divides 73760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 461, 922, 1844, 2305, 3688, 4610, 7376, 9220, 14752, 18440, 36880

Step-4: Factors of 73777

List of positive integer factors of 73777 that divides 73760 without a remainder.

1, 11, 19, 209, 353, 3883, 6707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73760 and 73777. The biggest common factor number is the GCF number.
So the greatest common factor 73760 and 73777 is 1.

Also check out the Least Common Multiple of 73760 and 73777