What is the Greatest Common Factor of 73684 and 73697?

Greatest common factor (GCF) of 73684 and 73697 is 13.

GCF(73684,73697) = 13

We will now calculate the prime factors of 73684 and 73697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73684 and 73697.

How to find the GCF of 73684 and 73697?

We will first find the prime factorization of 73684 and 73697. After we will calculate the factors of 73684 and 73697 and find the biggest common factor number .

Step-1: Prime Factorization of 73684

Prime factors of 73684 are 2, 13, 109. Prime factorization of 73684 in exponential form is:

73684 = 2² × 13² × 109¹

Step-2: Prime Factorization of 73697

Prime factors of 73697 are 13, 5669. Prime factorization of 73697 in exponential form is:

73697 = 13¹ × 5669¹

Step-3: Factors of 73684

List of positive integer factors of 73684 that divides 73684 without a remainder.

1, 2, 4, 13, 26, 52, 109, 169, 218, 338, 436, 676, 1417, 2834, 5668, 18421, 36842

Step-4: Factors of 73697

List of positive integer factors of 73697 that divides 73684 without a remainder.

1, 13, 5669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73684 and 73697. The biggest common factor number is the GCF number.
So the greatest common factor 73684 and 73697 is 13.

Also check out the Least Common Multiple of 73684 and 73697