What is the Greatest Common Factor of 75290 and 75296?

Greatest common factor (GCF) of 75290 and 75296 is 2.

GCF(75290,75296) = 2

We will now calculate the prime factors of 75290 and 75296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75290 and 75296.

How to find the GCF of 75290 and 75296?

We will first find the prime factorization of 75290 and 75296. After we will calculate the factors of 75290 and 75296 and find the biggest common factor number .

Step-1: Prime Factorization of 75290

Prime factors of 75290 are 2, 5, 7529. Prime factorization of 75290 in exponential form is:

75290 = 2¹ × 5¹ × 7529¹

Step-2: 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-3: Factors of 75290

List of positive integer factors of 75290 that divides 75290 without a remainder.

1, 2, 5, 10, 7529, 15058, 37645

Step-4: Factors of 75296

List of positive integer factors of 75296 that divides 75290 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75290 and 75296. The biggest common factor number is the GCF number.
So the greatest common factor 75290 and 75296 is 2.

Also check out the Least Common Multiple of 75290 and 75296