What is the Greatest Common Factor of 74608 and 74617?

Greatest common factor (GCF) of 74608 and 74617 is 1.

GCF(74608,74617) = 1

We will now calculate the prime factors of 74608 and 74617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74608 and 74617.

How to find the GCF of 74608 and 74617?

We will first find the prime factorization of 74608 and 74617. After we will calculate the factors of 74608 and 74617 and find the biggest common factor number .

Step-1: Prime Factorization of 74608

Prime factors of 74608 are 2, 4663. Prime factorization of 74608 in exponential form is:

74608 = 2⁴ × 4663¹

Step-2: Prime Factorization of 74617

Prime factors of 74617 are 29, 31, 83. Prime factorization of 74617 in exponential form is:

74617 = 29¹ × 31¹ × 83¹

Step-3: Factors of 74608

List of positive integer factors of 74608 that divides 74608 without a remainder.

1, 2, 4, 8, 16, 4663, 9326, 18652, 37304

Step-4: Factors of 74617

List of positive integer factors of 74617 that divides 74608 without a remainder.

1, 29, 31, 83, 899, 2407, 2573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74608 and 74617. The biggest common factor number is the GCF number.
So the greatest common factor 74608 and 74617 is 1.

Also check out the Least Common Multiple of 74608 and 74617