What is the Greatest Common Factor of 75010 and 75030?

Greatest common factor (GCF) of 75010 and 75030 is 10.

GCF(75010,75030) = 10

We will now calculate the prime factors of 75010 and 75030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75010 and 75030.

How to find the GCF of 75010 and 75030?

We will first find the prime factorization of 75010 and 75030. After we will calculate the factors of 75010 and 75030 and find the biggest common factor number .

Step-1: Prime Factorization of 75010

Prime factors of 75010 are 2, 5, 13, 577. Prime factorization of 75010 in exponential form is:

75010 = 2¹ × 5¹ × 13¹ × 577¹

Step-2: 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-3: Factors of 75010

List of positive integer factors of 75010 that divides 75010 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 577, 1154, 2885, 5770, 7501, 15002, 37505

Step-4: Factors of 75030

List of positive integer factors of 75030 that divides 75010 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75010 and 75030. The biggest common factor number is the GCF number.
So the greatest common factor 75010 and 75030 is 10.

Also check out the Least Common Multiple of 75010 and 75030