What is the Greatest Common Factor of 75030 and 75041?

Greatest common factor (GCF) of 75030 and 75041 is 1.

GCF(75030,75041) = 1

We will now calculate the prime factors of 75030 and 75041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75030 and 75041.

How to find the GCF of 75030 and 75041?

We will first find the prime factorization of 75030 and 75041. After we will calculate the factors of 75030 and 75041 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 75041

Prime factors of 75041 are 75041. Prime factorization of 75041 in exponential form is:

75041 = 75041¹

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 75041

List of positive integer factors of 75041 that divides 75030 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75030 and 75041. The biggest common factor number is the GCF number.
So the greatest common factor 75030 and 75041 is 1.

Also check out the Least Common Multiple of 75030 and 75041