What is the Greatest Common Factor of 73760 and 73767?

Greatest common factor (GCF) of 73760 and 73767 is 1.

GCF(73760,73767) = 1

We will now calculate the prime factors of 73760 and 73767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73760 and 73767.

How to find the GCF of 73760 and 73767?

We will first find the prime factorization of 73760 and 73767. After we will calculate the factors of 73760 and 73767 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 73767

Prime factors of 73767 are 3, 67, 367. Prime factorization of 73767 in exponential form is:

73767 = 3¹ × 67¹ × 367¹

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 73767

List of positive integer factors of 73767 that divides 73760 without a remainder.

1, 3, 67, 201, 367, 1101, 24589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73760 and 73767. The biggest common factor number is the GCF number.
So the greatest common factor 73760 and 73767 is 1.

Also check out the Least Common Multiple of 73760 and 73767