What is the Greatest Common Factor of 75808 and 75826?

Greatest common factor (GCF) of 75808 and 75826 is 2.

GCF(75808,75826) = 2

We will now calculate the prime factors of 75808 and 75826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75808 and 75826.

How to find the GCF of 75808 and 75826?

We will first find the prime factorization of 75808 and 75826. After we will calculate the factors of 75808 and 75826 and find the biggest common factor number .

Step-1: Prime Factorization of 75808

Prime factors of 75808 are 2, 23, 103. Prime factorization of 75808 in exponential form is:

75808 = 2⁵ × 23¹ × 103¹

Step-2: Prime Factorization of 75826

Prime factors of 75826 are 2, 31, 1223. Prime factorization of 75826 in exponential form is:

75826 = 2¹ × 31¹ × 1223¹

Step-3: Factors of 75808

List of positive integer factors of 75808 that divides 75808 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 103, 184, 206, 368, 412, 736, 824, 1648, 2369, 3296, 4738, 9476, 18952, 37904

Step-4: Factors of 75826

List of positive integer factors of 75826 that divides 75808 without a remainder.

1, 2, 31, 62, 1223, 2446, 37913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75808 and 75826. The biggest common factor number is the GCF number.
So the greatest common factor 75808 and 75826 is 2.

Also check out the Least Common Multiple of 75808 and 75826