What is the Greatest Common Factor of 75030 and 75044?

Greatest common factor (GCF) of 75030 and 75044 is 2.

GCF(75030,75044) = 2

We will now calculate the prime factors of 75030 and 75044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75030 and 75044.

How to find the GCF of 75030 and 75044?

We will first find the prime factorization of 75030 and 75044. After we will calculate the factors of 75030 and 75044 and find the biggest common factor number .

Step-1: Prime Factorization of 75030

Prime factors of 75030 are 2, 3, 5, 41, 61. Prime factorization of 75030 in exponential form is:

75030 = 2¹ × 3¹ × 5¹ × 41¹ × 61¹

Step-2: Prime Factorization of 75044

Prime factors of 75044 are 2, 73, 257. Prime factorization of 75044 in exponential form is:

75044 = 2² × 73¹ × 257¹

Step-3: Factors of 75030

List of positive integer factors of 75030 that divides 75030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 61, 82, 122, 123, 183, 205, 246, 305, 366, 410, 610, 615, 915, 1230, 1830, 2501, 5002, 7503, 12505, 15006, 25010, 37515

Step-4: Factors of 75044

List of positive integer factors of 75044 that divides 75030 without a remainder.

1, 2, 4, 73, 146, 257, 292, 514, 1028, 18761, 37522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75030 and 75044. The biggest common factor number is the GCF number.
So the greatest common factor 75030 and 75044 is 2.

Also check out the Least Common Multiple of 75030 and 75044