What is the Greatest Common Factor of 75608 and 75621?

Greatest common factor (GCF) of 75608 and 75621 is 13.

GCF(75608,75621) = 13

We will now calculate the prime factors of 75608 and 75621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75608 and 75621.

How to find the GCF of 75608 and 75621?

We will first find the prime factorization of 75608 and 75621. After we will calculate the factors of 75608 and 75621 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 75621

Prime factors of 75621 are 3, 7, 13, 277. Prime factorization of 75621 in exponential form is:

75621 = 3¹ × 7¹ × 13¹ × 277¹

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 75621

List of positive integer factors of 75621 that divides 75608 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 277, 831, 1939, 3601, 5817, 10803, 25207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75608 and 75621. The biggest common factor number is the GCF number.
So the greatest common factor 75608 and 75621 is 13.

Also check out the Least Common Multiple of 75608 and 75621