What is the Greatest Common Factor of 73717 and 73731?

Greatest common factor (GCF) of 73717 and 73731 is 7.

GCF(73717,73731) = 7

We will now calculate the prime factors of 73717 and 73731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73717 and 73731.

How to find the GCF of 73717 and 73731?

We will first find the prime factorization of 73717 and 73731. After we will calculate the factors of 73717 and 73731 and find the biggest common factor number .

Step-1: Prime Factorization of 73717

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

73717 = 7¹ × 10531¹

Step-2: Prime Factorization of 73731

Prime factors of 73731 are 3, 7, 3511. Prime factorization of 73731 in exponential form is:

73731 = 3¹ × 7¹ × 3511¹

Step-3: Factors of 73717

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

1, 7, 10531

Step-4: Factors of 73731

List of positive integer factors of 73731 that divides 73717 without a remainder.

1, 3, 7, 21, 3511, 10533, 24577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73717 and 73731. The biggest common factor number is the GCF number.
So the greatest common factor 73717 and 73731 is 7.

Also check out the Least Common Multiple of 73717 and 73731