What is the Greatest Common Factor of 75296 and 75307?

Greatest common factor (GCF) of 75296 and 75307 is 1.

GCF(75296,75307) = 1

We will now calculate the prime factors of 75296 and 75307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75296 and 75307.

How to find the GCF of 75296 and 75307?

We will first find the prime factorization of 75296 and 75307. After we will calculate the factors of 75296 and 75307 and find the biggest common factor number .

Step-1: Prime Factorization of 75296

Prime factors of 75296 are 2, 13, 181. Prime factorization of 75296 in exponential form is:

75296 = 2⁵ × 13¹ × 181¹

Step-2: Prime Factorization of 75307

Prime factors of 75307 are 75307. Prime factorization of 75307 in exponential form is:

75307 = 75307¹

Step-3: Factors of 75296

List of positive integer factors of 75296 that divides 75296 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 181, 208, 362, 416, 724, 1448, 2353, 2896, 4706, 5792, 9412, 18824, 37648

Step-4: Factors of 75307

List of positive integer factors of 75307 that divides 75296 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75296 and 75307. The biggest common factor number is the GCF number.
So the greatest common factor 75296 and 75307 is 1.

Also check out the Least Common Multiple of 75296 and 75307