What is the Greatest Common Factor of 73700 and 73717?

Greatest common factor (GCF) of 73700 and 73717 is 1.

GCF(73700,73717) = 1

We will now calculate the prime factors of 73700 and 73717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73700 and 73717.

How to find the GCF of 73700 and 73717?

We will first find the prime factorization of 73700 and 73717. After we will calculate the factors of 73700 and 73717 and find the biggest common factor number .

Step-1: Prime Factorization of 73700

Prime factors of 73700 are 2, 5, 11, 67. Prime factorization of 73700 in exponential form is:

73700 = 2² × 5² × 11¹ × 67¹

Step-2: Prime Factorization of 73717

Prime factors of 73717 are 7, 10531. Prime factorization of 73717 in exponential form is:

73717 = 7¹ × 10531¹

Step-3: Factors of 73700

List of positive integer factors of 73700 that divides 73700 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 67, 100, 110, 134, 220, 268, 275, 335, 550, 670, 737, 1100, 1340, 1474, 1675, 2948, 3350, 3685, 6700, 7370, 14740, 18425, 36850

Step-4: Factors of 73717

List of positive integer factors of 73717 that divides 73700 without a remainder.

1, 7, 10531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73700 and 73717. The biggest common factor number is the GCF number.
So the greatest common factor 73700 and 73717 is 1.

Also check out the Least Common Multiple of 73700 and 73717