What is the Greatest Common Factor of 73609 and 73616?

Greatest common factor (GCF) of 73609 and 73616 is 1.

GCF(73609,73616) = 1

We will now calculate the prime factors of 73609 and 73616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73609 and 73616.

How to find the GCF of 73609 and 73616?

We will first find the prime factorization of 73609 and 73616. After we will calculate the factors of 73609 and 73616 and find the biggest common factor number .

Step-1: Prime Factorization of 73609

Prime factors of 73609 are 73609. Prime factorization of 73609 in exponential form is:

73609 = 73609¹

Step-2: Prime Factorization of 73616

Prime factors of 73616 are 2, 43, 107. Prime factorization of 73616 in exponential form is:

73616 = 2⁴ × 43¹ × 107¹

Step-3: Factors of 73609

List of positive integer factors of 73609 that divides 73609 without a remainder.

Step-4: Factors of 73616

List of positive integer factors of 73616 that divides 73609 without a remainder.

1, 2, 4, 8, 16, 43, 86, 107, 172, 214, 344, 428, 688, 856, 1712, 4601, 9202, 18404, 36808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73609 and 73616. The biggest common factor number is the GCF number.
So the greatest common factor 73609 and 73616 is 1.

Also check out the Least Common Multiple of 73609 and 73616