What is the Greatest Common Factor of 75608 and 75614?

Greatest common factor (GCF) of 75608 and 75614 is 2.

GCF(75608,75614) = 2

We will now calculate the prime factors of 75608 and 75614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75608 and 75614.

How to find the GCF of 75608 and 75614?

We will first find the prime factorization of 75608 and 75614. After we will calculate the factors of 75608 and 75614 and find the biggest common factor number .

Step-1: Prime Factorization of 75608

Prime factors of 75608 are 2, 13, 727. Prime factorization of 75608 in exponential form is:

75608 = 2³ × 13¹ × 727¹

Step-2: Prime Factorization of 75614

Prime factors of 75614 are 2, 7, 11, 491. Prime factorization of 75614 in exponential form is:

75614 = 2¹ × 7¹ × 11¹ × 491¹

Step-3: Factors of 75608

List of positive integer factors of 75608 that divides 75608 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 727, 1454, 2908, 5816, 9451, 18902, 37804

Step-4: Factors of 75614

List of positive integer factors of 75614 that divides 75608 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 491, 982, 3437, 5401, 6874, 10802, 37807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75608 and 75614. The biggest common factor number is the GCF number.
So the greatest common factor 75608 and 75614 is 2.

Also check out the Least Common Multiple of 75608 and 75614